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Finding the Third Proportional to 31,834,215 and 68,210,586

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Solution

The third proportional to 31,834,215 and 68,210,586 is: 146,153,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834,215 : 68,210,586 = 68,210,586 : x
  2. Step 2: Convert to fraction form
    31,834,215/68,210,586 = 68,210,586/x
  3. Step 3: Cross multiply
    31,834,215x = 68,210,586 × 68,210,586
  4. Step 4: Simplify right side
    31,834,215x = 4,652,684,042,463,396
  5. Step 5: Solve for x
    x = 4,652,684,042,463,396/31,834,215
  6. Step 6: Final answer
    x = 146,153,565.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.