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Finding the Third Proportional to 15,894,182.25 and 34,329,291.75

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Solution

The third proportional to 15,894,182.25 and 34,329,291.75 is: 74,146,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894,182.25 : 34,329,291.75 = 34,329,291.75 : x
  2. Step 2: Convert to fraction form
    15,894,182.25/34,329,291.75 = 34,329,291.75/x
  3. Step 3: Cross multiply
    15,894,182.25x = 34,329,291.75 × 34,329,291.75
  4. Step 4: Simplify right side
    15,894,182.25x = 1,178,500,272,056,618
  5. Step 5: Solve for x
    x = 1,178,500,272,056,618/15,894,182.25
  6. Step 6: Final answer
    x = 74,146,643.94

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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.