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Finding the Third Proportional to 9,857,470 and 21,573,080

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Solution

The third proportional to 9,857,470 and 21,573,080 is: 47,212,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857,470 : 21,573,080 = 21,573,080 : x
  2. Step 2: Convert to fraction form
    9,857,470/21,573,080 = 21,573,080/x
  3. Step 3: Cross multiply
    9,857,470x = 21,573,080 × 21,573,080
  4. Step 4: Simplify right side
    9,857,470x = 465,397,780,686,400
  5. Step 5: Solve for x
    x = 465,397,780,686,400/9,857,470
  6. Step 6: Final answer
    x = 47,212,700.69

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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.