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Finding the Third Proportional to 7,779,824.09 and 11,417,499.91

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Solution

The third proportional to 7,779,824.09 and 11,417,499.91 is: 16,756,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779,824.09 : 11,417,499.91 = 11,417,499.91 : x
  2. Step 2: Convert to fraction form
    7,779,824.09/11,417,499.91 = 11,417,499.91/x
  3. Step 3: Cross multiply
    7,779,824.09x = 11,417,499.91 × 11,417,499.91
  4. Step 4: Simplify right side
    7,779,824.09x = 130,359,304,287,605.80
  5. Step 5: Solve for x
    x = 130,359,304,287,605.80/7,779,824.09
  6. Step 6: Final answer
    x = 16,756,073.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.