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Finding the Third Proportional to 1,059,023,045 and 2,308,729,822

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Solution

The third proportional to 1,059,023,045 and 2,308,729,822 is: 5,033,160,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,023,045 : 2,308,729,822 = 2,308,729,822 : x
  2. Step 2: Convert to fraction form
    1,059,023,045/2,308,729,822 = 2,308,729,822/x
  3. Step 3: Cross multiply
    1,059,023,045x = 2,308,729,822 × 2,308,729,822
  4. Step 4: Simplify right side
    1,059,023,045x = 5,330,233,390,992,151,552
  5. Step 5: Solve for x
    x = 5,330,233,390,992,151,552/1,059,023,045
  6. Step 6: Final answer
    x = 5,033,160,908.21

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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.