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Finding the Third Proportional to 35,888,271 and 78,724,578

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Solution

The third proportional to 35,888,271 and 78,724,578 is: 172,690,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,888,271 : 78,724,578 = 78,724,578 : x
  2. Step 2: Convert to fraction form
    35,888,271/78,724,578 = 78,724,578/x
  3. Step 3: Cross multiply
    35,888,271x = 78,724,578 × 78,724,578
  4. Step 4: Simplify right side
    35,888,271x = 6,197,559,181,278,084
  5. Step 5: Solve for x
    x = 6,197,559,181,278,084/35,888,271
  6. Step 6: Final answer
    x = 172,690,380.69

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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.