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Finding the Third Proportional to 877,646,016 and 1,827,932,508

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Solution

The third proportional to 877,646,016 and 1,827,932,508 is: 3,807,158,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,646,016 : 1,827,932,508 = 1,827,932,508 : x
  2. Step 2: Convert to fraction form
    877,646,016/1,827,932,508 = 1,827,932,508/x
  3. Step 3: Cross multiply
    877,646,016x = 1,827,932,508 × 1,827,932,508
  4. Step 4: Simplify right side
    877,646,016x = 3,341,337,253,803,170,304
  5. Step 5: Solve for x
    x = 3,341,337,253,803,170,304/877,646,016
  6. Step 6: Final answer
    x = 3,807,158,231.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.