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Finding the Third Proportional to 3,939,029,046 and 8,506,986,674

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Solution

The third proportional to 3,939,029,046 and 8,506,986,674 is: 18,372,248,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939,029,046 : 8,506,986,674 = 8,506,986,674 : x
  2. Step 2: Convert to fraction form
    3,939,029,046/8,506,986,674 = 8,506,986,674/x
  3. Step 3: Cross multiply
    3,939,029,046x = 8,506,986,674 × 8,506,986,674
  4. Step 4: Simplify right side
    3,939,029,046x = 72,368,822,271,613,583,360
  5. Step 5: Solve for x
    x = 72,368,822,271,613,583,360/3,939,029,046
  6. Step 6: Final answer
    x = 18,372,248,954.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.