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Finding the Third Proportional to 1,342,853,748 and 2,889,780,894

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Solution

The third proportional to 1,342,853,748 and 2,889,780,894 is: 6,218,721,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,853,748 : 2,889,780,894 = 2,889,780,894 : x
  2. Step 2: Convert to fraction form
    1,342,853,748/2,889,780,894 = 2,889,780,894/x
  3. Step 3: Cross multiply
    1,342,853,748x = 2,889,780,894 × 2,889,780,894
  4. Step 4: Simplify right side
    1,342,853,748x = 8,350,833,615,327,438,848
  5. Step 5: Solve for x
    x = 8,350,833,615,327,438,848/1,342,853,748
  6. Step 6: Final answer
    x = 6,218,721,605.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.