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Finding the Third Proportional to 103,633,926 and 221,616,756

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Solution

The third proportional to 103,633,926 and 221,616,756 is: 473,918,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,926 : 221,616,756 = 221,616,756 : x
  2. Step 2: Convert to fraction form
    103,633,926/221,616,756 = 221,616,756/x
  3. Step 3: Cross multiply
    103,633,926x = 221,616,756 × 221,616,756
  4. Step 4: Simplify right side
    103,633,926x = 49,113,986,539,963,536
  5. Step 5: Solve for x
    x = 49,113,986,539,963,536/103,633,926
  6. Step 6: Final answer
    x = 473,918,034.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.