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Finding the Third Proportional to 370,850,681 and 772,220,823

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Solution

The third proportional to 370,850,681 and 772,220,823 is: 1,607,992,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,850,681 : 772,220,823 = 772,220,823 : x
  2. Step 2: Convert to fraction form
    370,850,681/772,220,823 = 772,220,823/x
  3. Step 3: Cross multiply
    370,850,681x = 772,220,823 × 772,220,823
  4. Step 4: Simplify right side
    370,850,681x = 596,324,999,474,797,312
  5. Step 5: Solve for x
    x = 596,324,999,474,797,312/370,850,681
  6. Step 6: Final answer
    x = 1,607,992,192.08

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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.