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Finding the Third Proportional to 49,472,534 and 77,035,647

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Solution

The third proportional to 49,472,534 and 77,035,647 is: 119,955,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,472,534 : 77,035,647 = 77,035,647 : x
  2. Step 2: Convert to fraction form
    49,472,534/77,035,647 = 77,035,647/x
  3. Step 3: Cross multiply
    49,472,534x = 77,035,647 × 77,035,647
  4. Step 4: Simplify right side
    49,472,534x = 5,934,490,908,708,609
  5. Step 5: Solve for x
    x = 5,934,490,908,708,609/49,472,534
  6. Step 6: Final answer
    x = 119,955,264.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.