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Finding the Third Proportional to 5,703,436.13 and 12,302,722.13

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Solution

The third proportional to 5,703,436.13 and 12,302,722.13 is: 26,537,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703,436.13 : 12,302,722.13 = 12,302,722.13 : x
  2. Step 2: Convert to fraction form
    5,703,436.13/12,302,722.13 = 12,302,722.13/x
  3. Step 3: Cross multiply
    5,703,436.13x = 12,302,722.13 × 12,302,722.13
  4. Step 4: Simplify right side
    5,703,436.13x = 151,356,971,684,964.50
  5. Step 5: Solve for x
    x = 151,356,971,684,964.50/5,703,436.13
  6. Step 6: Final answer
    x = 26,537,856.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.