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Finding the Third Proportional to 5,291,116.17 and 7,732,514.39

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Solution

The third proportional to 5,291,116.17 and 7,732,514.39 is: 11,300,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291,116.17 : 7,732,514.39 = 7,732,514.39 : x
  2. Step 2: Convert to fraction form
    5,291,116.17/7,732,514.39 = 7,732,514.39/x
  3. Step 3: Cross multiply
    5,291,116.17x = 7,732,514.39 × 7,732,514.39
  4. Step 4: Simplify right side
    5,291,116.17x = 59,791,778,801,222.72
  5. Step 5: Solve for x
    x = 59,791,778,801,222.72/5,291,116.17
  6. Step 6: Final answer
    x = 11,300,409.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.