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Finding the Third Proportional to 7,082,776 and 15,486,783

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Solution

The third proportional to 7,082,776 and 15,486,783 is: 33,862,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082,776 : 15,486,783 = 15,486,783 : x
  2. Step 2: Convert to fraction form
    7,082,776/15,486,783 = 15,486,783/x
  3. Step 3: Cross multiply
    7,082,776x = 15,486,783 × 15,486,783
  4. Step 4: Simplify right side
    7,082,776x = 239,840,447,689,089
  5. Step 5: Solve for x
    x = 239,840,447,689,089/7,082,776
  6. Step 6: Final answer
    x = 33,862,492.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.