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Finding the Third Proportional to 34,065,784.50 and 74,726,778

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Solution

The third proportional to 34,065,784.50 and 74,726,778 is: 163,920,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065,784.50 : 74,726,778 = 74,726,778 : x
  2. Step 2: Convert to fraction form
    34,065,784.50/74,726,778 = 74,726,778/x
  3. Step 3: Cross multiply
    34,065,784.50x = 74,726,778 × 74,726,778
  4. Step 4: Simplify right side
    34,065,784.50x = 5,584,091,350,261,284
  5. Step 5: Solve for x
    x = 5,584,091,350,261,284/34,065,784.50
  6. Step 6: Final answer
    x = 163,920,820.62

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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.