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Finding the Third Proportional to 9,974,770.31 and 21,488,292.56

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Solution

The third proportional to 9,974,770.31 and 21,488,292.56 is: 46,291,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,770.31 : 21,488,292.56 = 21,488,292.56 : x
  2. Step 2: Convert to fraction form
    9,974,770.31/21,488,292.56 = 21,488,292.56/x
  3. Step 3: Cross multiply
    9,974,770.31x = 21,488,292.56 × 21,488,292.56
  4. Step 4: Simplify right side
    9,974,770.31x = 461,746,717,251,592.81
  5. Step 5: Solve for x
    x = 461,746,717,251,592.81/9,974,770.31
  6. Step 6: Final answer
    x = 46,291,463.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.