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Finding the Third Proportional to 72,709,782 and 159,101,454

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Solution

The third proportional to 72,709,782 and 159,101,454 is: 348,141,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709,782 : 159,101,454 = 159,101,454 : x
  2. Step 2: Convert to fraction form
    72,709,782/159,101,454 = 159,101,454/x
  3. Step 3: Cross multiply
    72,709,782x = 159,101,454 × 159,101,454
  4. Step 4: Simplify right side
    72,709,782x = 25,313,272,664,914,116
  5. Step 5: Solve for x
    x = 25,313,272,664,914,116/72,709,782
  6. Step 6: Final answer
    x = 348,141,226.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.