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Finding the Third Proportional to 345,240,068 and 739,451,440

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Solution

The third proportional to 345,240,068 and 739,451,440 is: 1,583,791,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,240,068 : 739,451,440 = 739,451,440 : x
  2. Step 2: Convert to fraction form
    345,240,068/739,451,440 = 739,451,440/x
  3. Step 3: Cross multiply
    345,240,068x = 739,451,440 × 739,451,440
  4. Step 4: Simplify right side
    345,240,068x = 546,788,432,118,073,600
  5. Step 5: Solve for x
    x = 546,788,432,118,073,600/345,240,068
  6. Step 6: Final answer
    x = 1,583,791,925.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.