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Finding the Third Proportional to 4,547,869 and 9,852,581

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Solution

The third proportional to 4,547,869 and 9,852,581 is: 21,344,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547,869 : 9,852,581 = 9,852,581 : x
  2. Step 2: Convert to fraction form
    4,547,869/9,852,581 = 9,852,581/x
  3. Step 3: Cross multiply
    4,547,869x = 9,852,581 × 9,852,581
  4. Step 4: Simplify right side
    4,547,869x = 97,073,352,361,561
  5. Step 5: Solve for x
    x = 97,073,352,361,561/4,547,869
  6. Step 6: Final answer
    x = 21,344,799.59

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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.