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Finding the Third Proportional to 8,139,582,280 and 17,631,388,496

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Solution

The third proportional to 8,139,582,280 and 17,631,388,496 is: 38,191,869,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139,582,280 : 17,631,388,496 = 17,631,388,496 : x
  2. Step 2: Convert to fraction form
    8,139,582,280/17,631,388,496 = 17,631,388,496/x
  3. Step 3: Cross multiply
    8,139,582,280x = 17,631,388,496 × 17,631,388,496
  4. Step 4: Simplify right side
    8,139,582,280x = 310,865,860,296,881,143,808
  5. Step 5: Solve for x
    x = 310,865,860,296,881,143,808/8,139,582,280
  6. Step 6: Final answer
    x = 38,191,869,017.74

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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.