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Finding the Third Proportional to 1,419,502,614 and 3,088,962,048

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Solution

The third proportional to 1,419,502,614 and 3,088,962,048 is: 6,721,852,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,502,614 : 3,088,962,048 = 3,088,962,048 : x
  2. Step 2: Convert to fraction form
    1,419,502,614/3,088,962,048 = 3,088,962,048/x
  3. Step 3: Cross multiply
    1,419,502,614x = 3,088,962,048 × 3,088,962,048
  4. Step 4: Simplify right side
    1,419,502,614x = 9,541,686,533,984,354,304
  5. Step 5: Solve for x
    x = 9,541,686,533,984,354,304/1,419,502,614
  6. Step 6: Final answer
    x = 6,721,852,034.56

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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.