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Finding the Third Proportional to 31,525,215 and 67,913,646

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Solution

The third proportional to 31,525,215 and 67,913,646 is: 146,303,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525,215 : 67,913,646 = 67,913,646 : x
  2. Step 2: Convert to fraction form
    31,525,215/67,913,646 = 67,913,646/x
  3. Step 3: Cross multiply
    31,525,215x = 67,913,646 × 67,913,646
  4. Step 4: Simplify right side
    31,525,215x = 4,612,263,313,013,316
  5. Step 5: Solve for x
    x = 4,612,263,313,013,316/31,525,215
  6. Step 6: Final answer
    x = 146,303,944.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.