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Finding the Third Proportional to 7,478,000,454 and 16,149,982,508

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Solution

The third proportional to 7,478,000,454 and 16,149,982,508 is: 34,878,566,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478,000,454 : 16,149,982,508 = 16,149,982,508 : x
  2. Step 2: Convert to fraction form
    7,478,000,454/16,149,982,508 = 16,149,982,508/x
  3. Step 3: Cross multiply
    7,478,000,454x = 16,149,982,508 × 16,149,982,508
  4. Step 4: Simplify right side
    7,478,000,454x = 260,821,935,008,705,970,176
  5. Step 5: Solve for x
    x = 260,821,935,008,705,970,176/7,478,000,454
  6. Step 6: Final answer
    x = 34,878,566,351.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.