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Finding the Third Proportional to 405,686,532.38 and 606,141,640.13

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Solution

The third proportional to 405,686,532.38 and 606,141,640.13 is: 905,644,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,686,532.38 : 606,141,640.13 = 606,141,640.13 : x
  2. Step 2: Convert to fraction form
    405,686,532.38/606,141,640.13 = 606,141,640.13/x
  3. Step 3: Cross multiply
    405,686,532.38x = 606,141,640.13 × 606,141,640.13
  4. Step 4: Simplify right side
    405,686,532.38x = 367,407,687,893,425,024
  5. Step 5: Solve for x
    x = 367,407,687,893,425,024/405,686,532.38
  6. Step 6: Final answer
    x = 905,644,280.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.