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Finding the Third Proportional to 9,843,765 and 15,406,806

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Solution

The third proportional to 9,843,765 and 15,406,806 is: 24,113,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,765 : 15,406,806 = 15,406,806 : x
  2. Step 2: Convert to fraction form
    9,843,765/15,406,806 = 15,406,806/x
  3. Step 3: Cross multiply
    9,843,765x = 15,406,806 × 15,406,806
  4. Step 4: Simplify right side
    9,843,765x = 237,369,671,121,636
  5. Step 5: Solve for x
    x = 237,369,671,121,636/9,843,765
  6. Step 6: Final answer
    x = 24,113,707.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.