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Finding the Third Proportional to 467,342,328.38 and 740,024,697.38

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Solution

The third proportional to 467,342,328.38 and 740,024,697.38 is: 1,171,810,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,342,328.38 : 740,024,697.38 = 740,024,697.38 : x
  2. Step 2: Convert to fraction form
    467,342,328.38/740,024,697.38 = 740,024,697.38/x
  3. Step 3: Cross multiply
    467,342,328.38x = 740,024,697.38 × 740,024,697.38
  4. Step 4: Simplify right side
    467,342,328.38x = 547,636,552,724,960,320
  5. Step 5: Solve for x
    x = 547,636,552,724,960,320/467,342,328.38
  6. Step 6: Final answer
    x = 1,171,810,297.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.