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Finding the Third Proportional to 3,709,676,574 and 8,000,467,443

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Solution

The third proportional to 3,709,676,574 and 8,000,467,443 is: 17,254,194,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709,676,574 : 8,000,467,443 = 8,000,467,443 : x
  2. Step 2: Convert to fraction form
    3,709,676,574/8,000,467,443 = 8,000,467,443/x
  3. Step 3: Cross multiply
    3,709,676,574x = 8,000,467,443 × 8,000,467,443
  4. Step 4: Simplify right side
    3,709,676,574x = 64,007,479,306,502,955,008
  5. Step 5: Solve for x
    x = 64,007,479,306,502,955,008/3,709,676,574
  6. Step 6: Final answer
    x = 17,254,194,005.78

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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.