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Finding the Third Proportional to 566,354,705 and 1,235,655,874

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Solution

The third proportional to 566,354,705 and 1,235,655,874 is: 2,695,917,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,354,705 : 1,235,655,874 = 1,235,655,874 : x
  2. Step 2: Convert to fraction form
    566,354,705/1,235,655,874 = 1,235,655,874/x
  3. Step 3: Cross multiply
    566,354,705x = 1,235,655,874 × 1,235,655,874
  4. Step 4: Simplify right side
    566,354,705x = 1,526,845,438,950,703,872
  5. Step 5: Solve for x
    x = 1,526,845,438,950,703,872/566,354,705
  6. Step 6: Final answer
    x = 2,695,917,285.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.