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Finding the Third Proportional to 212,560,540,748 and 468,447,690,384

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Solution

The third proportional to 212,560,540,748 and 468,447,690,384 is: 1,032,379,941,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,560,540,748 : 468,447,690,384 = 468,447,690,384 : x
  2. Step 2: Convert to fraction form
    212,560,540,748/468,447,690,384 = 468,447,690,384/x
  3. Step 3: Cross multiply
    212,560,540,748x = 468,447,690,384 × 468,447,690,384
  4. Step 4: Simplify right side
    212,560,540,748x = 219,443,238,626,103,933,272,064
  5. Step 5: Solve for x
    x = 219,443,238,626,103,933,272,064/212,560,540,748
  6. Step 6: Final answer
    x = 1,032,379,941,516.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.