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Finding the Third Proportional to 27,948,639.94 and 61,078,829.06

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Solution

The third proportional to 27,948,639.94 and 61,078,829.06 is: 133,481,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948,639.94 : 61,078,829.06 = 61,078,829.06 : x
  2. Step 2: Convert to fraction form
    27,948,639.94/61,078,829.06 = 61,078,829.06/x
  3. Step 3: Cross multiply
    27,948,639.94x = 61,078,829.06 × 61,078,829.06
  4. Step 4: Simplify right side
    27,948,639.94x = 3,730,623,359,646,094.50
  5. Step 5: Solve for x
    x = 3,730,623,359,646,094.50/27,948,639.94
  6. Step 6: Final answer
    x = 133,481,391.87

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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.