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Finding the Third Proportional to 34,065,780.64 and 74,726,769.80

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Solution

The third proportional to 34,065,780.64 and 74,726,769.80 is: 163,920,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065,780.64 : 74,726,769.80 = 74,726,769.80 : x
  2. Step 2: Convert to fraction form
    34,065,780.64/74,726,769.80 = 74,726,769.80/x
  3. Step 3: Cross multiply
    34,065,780.64x = 74,726,769.80 × 74,726,769.80
  4. Step 4: Simplify right side
    34,065,780.64x = 5,584,090,124,275,150
  5. Step 5: Solve for x
    x = 5,584,090,124,275,150/34,065,780.64
  6. Step 6: Final answer
    x = 163,920,803.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.