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Finding the Third Proportional to 34,759,584 and 51,075,246

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Solution

The third proportional to 34,759,584 and 51,075,246 is: 75,049,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,759,584 : 51,075,246 = 51,075,246 : x
  2. Step 2: Convert to fraction form
    34,759,584/51,075,246 = 51,075,246/x
  3. Step 3: Cross multiply
    34,759,584x = 51,075,246 × 51,075,246
  4. Step 4: Simplify right side
    34,759,584x = 2,608,680,753,960,516
  5. Step 5: Solve for x
    x = 2,608,680,753,960,516/34,759,584
  6. Step 6: Final answer
    x = 75,049,251.28

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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.