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Finding the Third Proportional to 3,041,565,220,520 and 6,445,756,018,744

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Solution

The third proportional to 3,041,565,220,520 and 6,445,756,018,744 is: 13,659,996,627,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041,565,220,520 : 6,445,756,018,744 = 6,445,756,018,744 : x
  2. Step 2: Convert to fraction form
    3,041,565,220,520/6,445,756,018,744 = 6,445,756,018,744/x
  3. Step 3: Cross multiply
    3,041,565,220,520x = 6,445,756,018,744 × 6,445,756,018,744
  4. Step 4: Simplify right side
    3,041,565,220,520x = 41,547,770,653,174,499,119,202,304
  5. Step 5: Solve for x
    x = 41,547,770,653,174,499,119,202,304/3,041,565,220,520
  6. Step 6: Final answer
    x = 13,659,996,627,023.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.