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Finding the Third Proportional to 1,255,567,306.50 and 1,959,642,265.50

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Solution

The third proportional to 1,255,567,306.50 and 1,959,642,265.50 is: 3,058,536,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,567,306.50 : 1,959,642,265.50 = 1,959,642,265.50 : x
  2. Step 2: Convert to fraction form
    1,255,567,306.50/1,959,642,265.50 = 1,959,642,265.50/x
  3. Step 3: Cross multiply
    1,255,567,306.50x = 1,959,642,265.50 × 1,959,642,265.50
  4. Step 4: Simplify right side
    1,255,567,306.50x = 3,840,197,808,733,972,480
  5. Step 5: Solve for x
    x = 3,840,197,808,733,972,480/1,255,567,306.50
  6. Step 6: Final answer
    x = 3,058,536,001.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.