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Finding the Third Proportional to 938,506,542 and 1,379,028,744

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Solution

The third proportional to 938,506,542 and 1,379,028,744 is: 2,026,326,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,506,542 : 1,379,028,744 = 1,379,028,744 : x
  2. Step 2: Convert to fraction form
    938,506,542/1,379,028,744 = 1,379,028,744/x
  3. Step 3: Cross multiply
    938,506,542x = 1,379,028,744 × 1,379,028,744
  4. Step 4: Simplify right side
    938,506,542x = 1,901,720,276,778,217,472
  5. Step 5: Solve for x
    x = 1,901,720,276,778,217,472/938,506,542
  6. Step 6: Final answer
    x = 2,026,326,074.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.