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Finding the Third Proportional to 611,337,464 and 1,342,773,820

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Solution

The third proportional to 611,337,464 and 1,342,773,820 is: 2,949,339,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,337,464 : 1,342,773,820 = 1,342,773,820 : x
  2. Step 2: Convert to fraction form
    611,337,464/1,342,773,820 = 1,342,773,820/x
  3. Step 3: Cross multiply
    611,337,464x = 1,342,773,820 × 1,342,773,820
  4. Step 4: Simplify right side
    611,337,464x = 1,803,041,531,677,392,384
  5. Step 5: Solve for x
    x = 1,803,041,531,677,392,384/611,337,464
  6. Step 6: Final answer
    x = 2,949,339,174.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.