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Finding the Third Proportional to 8,344,376,226 and 18,137,989,844

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Solution

The third proportional to 8,344,376,226 and 18,137,989,844 is: 39,426,155,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344,376,226 : 18,137,989,844 = 18,137,989,844 : x
  2. Step 2: Convert to fraction form
    8,344,376,226/18,137,989,844 = 18,137,989,844/x
  3. Step 3: Cross multiply
    8,344,376,226x = 18,137,989,844 × 18,137,989,844
  4. Step 4: Simplify right side
    8,344,376,226x = 328,986,675,581,047,144,448
  5. Step 5: Solve for x
    x = 328,986,675,581,047,144,448/8,344,376,226
  6. Step 6: Final answer
    x = 39,426,155,613.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.