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Finding the Third Proportional to 684,323,806,426.30 and 1,424,964,603,794.10

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Solution

The third proportional to 684,323,806,426.30 and 1,424,964,603,794.10 is: 2,967,197,842,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,323,806,426.30 : 1,424,964,603,794.10 = 1,424,964,603,794.10 : x
  2. Step 2: Convert to fraction form
    684,323,806,426.30/1,424,964,603,794.10 = 1,424,964,603,794.10/x
  3. Step 3: Cross multiply
    684,323,806,426.30x = 1,424,964,603,794.10 × 1,424,964,603,794.10
  4. Step 4: Simplify right side
    684,323,806,426.30x = 2,030,524,122,066,076,729,081,856
  5. Step 5: Solve for x
    x = 2,030,524,122,066,076,729,081,856/684,323,806,426.30
  6. Step 6: Final answer
    x = 2,967,197,842,597.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.