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Finding the Third Proportional to 2,268,773,232 and 4,924,752,384

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Solution

The third proportional to 2,268,773,232 and 4,924,752,384 is: 10,690,000,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268,773,232 : 4,924,752,384 = 4,924,752,384 : x
  2. Step 2: Convert to fraction form
    2,268,773,232/4,924,752,384 = 4,924,752,384/x
  3. Step 3: Cross multiply
    2,268,773,232x = 4,924,752,384 × 4,924,752,384
  4. Step 4: Simplify right side
    2,268,773,232x = 24,253,186,043,713,683,456
  5. Step 5: Solve for x
    x = 24,253,186,043,713,683,456/2,268,773,232
  6. Step 6: Final answer
    x = 10,690,000,085.35

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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.