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Finding the Third Proportional to 705,838,612.50 and 1,067,835,946.50

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Solution

The third proportional to 705,838,612.50 and 1,067,835,946.50 is: 1,615,487,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,838,612.50 : 1,067,835,946.50 = 1,067,835,946.50 : x
  2. Step 2: Convert to fraction form
    705,838,612.50/1,067,835,946.50 = 1,067,835,946.50/x
  3. Step 3: Cross multiply
    705,838,612.50x = 1,067,835,946.50 × 1,067,835,946.50
  4. Step 4: Simplify right side
    705,838,612.50x = 1,140,273,608,637,550,848
  5. Step 5: Solve for x
    x = 1,140,273,608,637,550,848/705,838,612.50
  6. Step 6: Final answer
    x = 1,615,487,716.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.