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Finding the Third Proportional to 819,722,830 and 1,267,888,840

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Solution

The third proportional to 819,722,830 and 1,267,888,840 is: 1,961,080,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,722,830 : 1,267,888,840 = 1,267,888,840 : x
  2. Step 2: Convert to fraction form
    819,722,830/1,267,888,840 = 1,267,888,840/x
  3. Step 3: Cross multiply
    819,722,830x = 1,267,888,840 × 1,267,888,840
  4. Step 4: Simplify right side
    819,722,830x = 1,607,542,110,596,545,536
  5. Step 5: Solve for x
    x = 1,607,542,110,596,545,536/819,722,830
  6. Step 6: Final answer
    x = 1,961,080,077.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.