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Finding the Third Proportional to 9,718,057.13 and 21,266,444.25

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Solution

The third proportional to 9,718,057.13 and 21,266,444.25 is: 46,538,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718,057.13 : 21,266,444.25 = 21,266,444.25 : x
  2. Step 2: Convert to fraction form
    9,718,057.13/21,266,444.25 = 21,266,444.25/x
  3. Step 3: Cross multiply
    9,718,057.13x = 21,266,444.25 × 21,266,444.25
  4. Step 4: Simplify right side
    9,718,057.13x = 452,261,651,038,358.06
  5. Step 5: Solve for x
    x = 452,261,651,038,358.06/9,718,057.13
  6. Step 6: Final answer
    x = 46,538,278.71

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Why These Related Problems?

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