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Finding the Third Proportional to 4,547,297 and 9,689,866

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Solution

The third proportional to 4,547,297 and 9,689,866 is: 20,648,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547,297 : 9,689,866 = 9,689,866 : x
  2. Step 2: Convert to fraction form
    4,547,297/9,689,866 = 9,689,866/x
  3. Step 3: Cross multiply
    4,547,297x = 9,689,866 × 9,689,866
  4. Step 4: Simplify right side
    4,547,297x = 93,893,503,097,956
  5. Step 5: Solve for x
    x = 93,893,503,097,956/4,547,297
  6. Step 6: Final answer
    x = 20,648,201.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.