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Finding the Third Proportional to 12,031,352.25 and 25,980,294

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Solution

The third proportional to 12,031,352.25 and 25,980,294 is: 56,101,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,352.25 : 25,980,294 = 25,980,294 : x
  2. Step 2: Convert to fraction form
    12,031,352.25/25,980,294 = 25,980,294/x
  3. Step 3: Cross multiply
    12,031,352.25x = 25,980,294 × 25,980,294
  4. Step 4: Simplify right side
    12,031,352.25x = 674,975,676,326,436
  5. Step 5: Solve for x
    x = 674,975,676,326,436/12,031,352.25
  6. Step 6: Final answer
    x = 56,101,397.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.