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Finding the Third Proportional to 7,702,086 and 10,767,441

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Solution

The third proportional to 7,702,086 and 10,767,441 is: 15,052,777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702,086 : 10,767,441 = 10,767,441 : x
  2. Step 2: Convert to fraction form
    7,702,086/10,767,441 = 10,767,441/x
  3. Step 3: Cross multiply
    7,702,086x = 10,767,441 × 10,767,441
  4. Step 4: Simplify right side
    7,702,086x = 115,937,785,688,481
  5. Step 5: Solve for x
    x = 115,937,785,688,481/7,702,086
  6. Step 6: Final answer
    x = 15,052,777.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.