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Finding the Third Proportional to 312,417,384.75 and 671,852,535.75

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Solution

The third proportional to 312,417,384.75 and 671,852,535.75 is: 1,444,816,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,417,384.75 : 671,852,535.75 = 671,852,535.75 : x
  2. Step 2: Convert to fraction form
    312,417,384.75/671,852,535.75 = 671,852,535.75/x
  3. Step 3: Cross multiply
    312,417,384.75x = 671,852,535.75 × 671,852,535.75
  4. Step 4: Simplify right side
    312,417,384.75x = 451,385,829,793,705,024
  5. Step 5: Solve for x
    x = 451,385,829,793,705,024/312,417,384.75
  6. Step 6: Final answer
    x = 1,444,816,619.78

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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.