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Finding the Third Proportional to 17,767,275,744,528 and 38,688,767,162,051

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Solution

The third proportional to 17,767,275,744,528 and 38,688,767,162,051 is: 84,245,932,018,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767,275,744,528 : 38,688,767,162,051 = 38,688,767,162,051 : x
  2. Step 2: Convert to fraction form
    17,767,275,744,528/38,688,767,162,051 = 38,688,767,162,051/x
  3. Step 3: Cross multiply
    17,767,275,744,528x = 38,688,767,162,051 × 38,688,767,162,051
  4. Step 4: Simplify right side
    17,767,275,744,528x = 1,496,820,704,519,395,831,401,414,656
  5. Step 5: Solve for x
    x = 1,496,820,704,519,395,831,401,414,656/17,767,275,744,528
  6. Step 6: Final answer
    x = 84,245,932,018,046.69

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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.