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Finding the Third Proportional to 7,702,071 and 10,767,426

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Solution

The third proportional to 7,702,071 and 10,767,426 is: 15,052,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702,071 : 10,767,426 = 10,767,426 : x
  2. Step 2: Convert to fraction form
    7,702,071/10,767,426 = 10,767,426/x
  3. Step 3: Cross multiply
    7,702,071x = 10,767,426 × 10,767,426
  4. Step 4: Simplify right side
    7,702,071x = 115,937,462,665,476
  5. Step 5: Solve for x
    x = 115,937,462,665,476/7,702,071
  6. Step 6: Final answer
    x = 15,052,764.73

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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.