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Finding the Third Proportional to 4,189,139,502 and 9,113,766,822

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Solution

The third proportional to 4,189,139,502 and 9,113,766,822 is: 19,827,638,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,139,502 : 9,113,766,822 = 9,113,766,822 : x
  2. Step 2: Convert to fraction form
    4,189,139,502/9,113,766,822 = 9,113,766,822/x
  3. Step 3: Cross multiply
    4,189,139,502x = 9,113,766,822 × 9,113,766,822
  4. Step 4: Simplify right side
    4,189,139,502x = 83,060,745,685,787,983,872
  5. Step 5: Solve for x
    x = 83,060,745,685,787,983,872/4,189,139,502
  6. Step 6: Final answer
    x = 19,827,638,980.78

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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.