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Finding the Third Proportional to 65,077,905 and 86,368,023

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Solution

The third proportional to 65,077,905 and 86,368,023 is: 114,623,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,077,905 : 86,368,023 = 86,368,023 : x
  2. Step 2: Convert to fraction form
    65,077,905/86,368,023 = 86,368,023/x
  3. Step 3: Cross multiply
    65,077,905x = 86,368,023 × 86,368,023
  4. Step 4: Simplify right side
    65,077,905x = 7,459,435,396,928,529
  5. Step 5: Solve for x
    x = 7,459,435,396,928,529/65,077,905
  6. Step 6: Final answer
    x = 114,623,164.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.