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Finding the Third Proportional to 52,331,968 and 77,986,464

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Solution

The third proportional to 52,331,968 and 77,986,464 is: 116,217,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,331,968 : 77,986,464 = 77,986,464 : x
  2. Step 2: Convert to fraction form
    52,331,968/77,986,464 = 77,986,464/x
  3. Step 3: Cross multiply
    52,331,968x = 77,986,464 × 77,986,464
  4. Step 4: Simplify right side
    52,331,968x = 6,081,888,567,223,296
  5. Step 5: Solve for x
    x = 6,081,888,567,223,296/52,331,968
  6. Step 6: Final answer
    x = 116,217,463.24

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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.