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Finding the Third Proportional to 2,295,707,877 and 3,442,963,944

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Solution

The third proportional to 2,295,707,877 and 3,442,963,944 is: 5,163,549,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295,707,877 : 3,442,963,944 = 3,442,963,944 : x
  2. Step 2: Convert to fraction form
    2,295,707,877/3,442,963,944 = 3,442,963,944/x
  3. Step 3: Cross multiply
    2,295,707,877x = 3,442,963,944 × 3,442,963,944
  4. Step 4: Simplify right side
    2,295,707,877x = 11,854,000,719,684,034,560
  5. Step 5: Solve for x
    x = 11,854,000,719,684,034,560/2,295,707,877
  6. Step 6: Final answer
    x = 5,163,549,264.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.