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Finding the Third Proportional to 8,488,157,643 and 18,266,260,374

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Solution

The third proportional to 8,488,157,643 and 18,266,260,374 is: 39,308,443,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488,157,643 : 18,266,260,374 = 18,266,260,374 : x
  2. Step 2: Convert to fraction form
    8,488,157,643/18,266,260,374 = 18,266,260,374/x
  3. Step 3: Cross multiply
    8,488,157,643x = 18,266,260,374 × 18,266,260,374
  4. Step 4: Simplify right side
    8,488,157,643x = 333,656,268,050,762,629,120
  5. Step 5: Solve for x
    x = 333,656,268,050,762,629,120/8,488,157,643
  6. Step 6: Final answer
    x = 39,308,443,844.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.