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Finding the Third Proportional to 53,689,527 and 75,897,850.50

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Solution

The third proportional to 53,689,527 and 75,897,850.50 is: 107,292,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,689,527 : 75,897,850.50 = 75,897,850.50 : x
  2. Step 2: Convert to fraction form
    53,689,527/75,897,850.50 = 75,897,850.50/x
  3. Step 3: Cross multiply
    53,689,527x = 75,897,850.50 × 75,897,850.50
  4. Step 4: Simplify right side
    53,689,527x = 5,760,483,710,520,350
  5. Step 5: Solve for x
    x = 5,760,483,710,520,350/53,689,527
  6. Step 6: Final answer
    x = 107,292,502.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.