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Finding the Third Proportional to 3,676,796,015.50 and 7,864,771,808

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Solution

The third proportional to 3,676,796,015.50 and 7,864,771,808 is: 16,822,971,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676,796,015.50 : 7,864,771,808 = 7,864,771,808 : x
  2. Step 2: Convert to fraction form
    3,676,796,015.50/7,864,771,808 = 7,864,771,808/x
  3. Step 3: Cross multiply
    3,676,796,015.50x = 7,864,771,808 × 7,864,771,808
  4. Step 4: Simplify right side
    3,676,796,015.50x = 61,854,635,591,911,587,840
  5. Step 5: Solve for x
    x = 61,854,635,591,911,587,840/3,676,796,015.50
  6. Step 6: Final answer
    x = 16,822,971,775.20

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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.