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Finding the Third Proportional to 4,696,358 and 10,195,766

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Solution

The third proportional to 4,696,358 and 10,195,766 is: 22,134,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696,358 : 10,195,766 = 10,195,766 : x
  2. Step 2: Convert to fraction form
    4,696,358/10,195,766 = 10,195,766/x
  3. Step 3: Cross multiply
    4,696,358x = 10,195,766 × 10,195,766
  4. Step 4: Simplify right side
    4,696,358x = 103,953,644,326,756
  5. Step 5: Solve for x
    x = 103,953,644,326,756/4,696,358
  6. Step 6: Final answer
    x = 22,134,948.90

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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.