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Finding the Third Proportional to 52,331,970 and 77,986,467

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Solution

The third proportional to 52,331,970 and 77,986,467 is: 116,217,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,331,970 : 77,986,467 = 77,986,467 : x
  2. Step 2: Convert to fraction form
    52,331,970/77,986,467 = 77,986,467/x
  3. Step 3: Cross multiply
    52,331,970x = 77,986,467 × 77,986,467
  4. Step 4: Simplify right side
    52,331,970x = 6,081,889,035,142,089
  5. Step 5: Solve for x
    x = 6,081,889,035,142,089/52,331,970
  6. Step 6: Final answer
    x = 116,217,467.74

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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.