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Finding the Third Proportional to 27,042,894 and 63,774,091.50

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Solution

The third proportional to 27,042,894 and 63,774,091.50 is: 150,395,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042,894 : 63,774,091.50 = 63,774,091.50 : x
  2. Step 2: Convert to fraction form
    27,042,894/63,774,091.50 = 63,774,091.50/x
  3. Step 3: Cross multiply
    27,042,894x = 63,774,091.50 × 63,774,091.50
  4. Step 4: Simplify right side
    27,042,894x = 4,067,134,746,650,372
  5. Step 5: Solve for x
    x = 4,067,134,746,650,372/27,042,894
  6. Step 6: Final answer
    x = 150,395,691.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.