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Finding the Third Proportional to 31,383,547.50 and 67,721,373

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Solution

The third proportional to 31,383,547.50 and 67,721,373 is: 146,133,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383,547.50 : 67,721,373 = 67,721,373 : x
  2. Step 2: Convert to fraction form
    31,383,547.50/67,721,373 = 67,721,373/x
  3. Step 3: Cross multiply
    31,383,547.50x = 67,721,373 × 67,721,373
  4. Step 4: Simplify right side
    31,383,547.50x = 4,586,184,361,005,129
  5. Step 5: Solve for x
    x = 4,586,184,361,005,129/31,383,547.50
  6. Step 6: Final answer
    x = 146,133,395.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.