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Finding the Third Proportional to 1,018,649,666 and 2,182,515,664

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Solution

The third proportional to 1,018,649,666 and 2,182,515,664 is: 4,676,165,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,649,666 : 2,182,515,664 = 2,182,515,664 : x
  2. Step 2: Convert to fraction form
    1,018,649,666/2,182,515,664 = 2,182,515,664/x
  3. Step 3: Cross multiply
    1,018,649,666x = 2,182,515,664 × 2,182,515,664
  4. Step 4: Simplify right side
    1,018,649,666x = 4,763,374,623,605,360,640
  5. Step 5: Solve for x
    x = 4,763,374,623,605,360,640/1,018,649,666
  6. Step 6: Final answer
    x = 4,676,165,695.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.