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Finding the Third Proportional to 312,417,392.50 and 671,852,551.50

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Solution

The third proportional to 312,417,392.50 and 671,852,551.50 is: 1,444,816,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,417,392.50 : 671,852,551.50 = 671,852,551.50 : x
  2. Step 2: Convert to fraction form
    312,417,392.50/671,852,551.50 = 671,852,551.50/x
  3. Step 3: Cross multiply
    312,417,392.50x = 671,852,551.50 × 671,852,551.50
  4. Step 4: Simplify right side
    312,417,392.50x = 451,385,850,957,060,160
  5. Step 5: Solve for x
    x = 451,385,850,957,060,160/312,417,392.50
  6. Step 6: Final answer
    x = 1,444,816,651.68

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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.