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Finding the Third Proportional to 9,857,883.38 and 21,570,966.50

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Solution

The third proportional to 9,857,883.38 and 21,570,966.50 is: 47,201,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857,883.38 : 21,570,966.50 = 21,570,966.50 : x
  2. Step 2: Convert to fraction form
    9,857,883.38/21,570,966.50 = 21,570,966.50/x
  3. Step 3: Cross multiply
    9,857,883.38x = 21,570,966.50 × 21,570,966.50
  4. Step 4: Simplify right side
    9,857,883.38x = 465,306,595,744,122.25
  5. Step 5: Solve for x
    x = 465,306,595,744,122.25/9,857,883.38
  6. Step 6: Final answer
    x = 47,201,470.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.