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Finding the Third Proportional to 9,788,686.25 and 21,459,732.38

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Solution

The third proportional to 9,788,686.25 and 21,459,732.38 is: 47,046,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788,686.25 : 21,459,732.38 = 21,459,732.38 : x
  2. Step 2: Convert to fraction form
    9,788,686.25/21,459,732.38 = 21,459,732.38/x
  3. Step 3: Cross multiply
    9,788,686.25x = 21,459,732.38 × 21,459,732.38
  4. Step 4: Simplify right side
    9,788,686.25x = 460,520,113,606,623.12
  5. Step 5: Solve for x
    x = 460,520,113,606,623.12/9,788,686.25
  6. Step 6: Final answer
    x = 47,046,161.44

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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.