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Finding the Third Proportional to 38,564,702 and 51,181,075

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Solution

The third proportional to 38,564,702 and 51,181,075 is: 67,924,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564,702 : 51,181,075 = 51,181,075 : x
  2. Step 2: Convert to fraction form
    38,564,702/51,181,075 = 51,181,075/x
  3. Step 3: Cross multiply
    38,564,702x = 51,181,075 × 51,181,075
  4. Step 4: Simplify right side
    38,564,702x = 2,619,502,438,155,625
  5. Step 5: Solve for x
    x = 2,619,502,438,155,625/38,564,702
  6. Step 6: Final answer
    x = 67,924,871.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.