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Finding the Third Proportional to 52,435,527 and 106,952,862

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Solution

The third proportional to 52,435,527 and 106,952,862 is: 218,151,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,435,527 : 106,952,862 = 106,952,862 : x
  2. Step 2: Convert to fraction form
    52,435,527/106,952,862 = 106,952,862/x
  3. Step 3: Cross multiply
    52,435,527x = 106,952,862 × 106,952,862
  4. Step 4: Simplify right side
    52,435,527x = 11,438,914,689,991,044
  5. Step 5: Solve for x
    x = 11,438,914,689,991,044/52,435,527
  6. Step 6: Final answer
    x = 218,151,992.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.