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Finding the Third Proportional to 5,016,034.13 and 7,685,971.88

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Solution

The third proportional to 5,016,034.13 and 7,685,971.88 is: 11,777,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,016,034.13 : 7,685,971.88 = 7,685,971.88 : x
  2. Step 2: Convert to fraction form
    5,016,034.13/7,685,971.88 = 7,685,971.88/x
  3. Step 3: Cross multiply
    5,016,034.13x = 7,685,971.88 × 7,685,971.88
  4. Step 4: Simplify right side
    5,016,034.13x = 59,074,163,663,291.02
  5. Step 5: Solve for x
    x = 59,074,163,663,291.02/5,016,034.13
  6. Step 6: Final answer
    x = 11,777,065.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.