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Finding the Third Proportional to 5,442,076.13 and 7,866,775.69

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Solution

The third proportional to 5,442,076.13 and 7,866,775.69 is: 11,371,792.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442,076.13 : 7,866,775.69 = 7,866,775.69 : x
  2. Step 2: Convert to fraction form
    5,442,076.13/7,866,775.69 = 7,866,775.69/x
  3. Step 3: Cross multiply
    5,442,076.13x = 7,866,775.69 × 7,866,775.69
  4. Step 4: Simplify right side
    5,442,076.13x = 61,886,159,717,441.09
  5. Step 5: Solve for x
    x = 61,886,159,717,441.09/5,442,076.13
  6. Step 6: Final answer
    x = 11,371,792.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.