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Finding the Third Proportional to 387,944,097.75 and 846,995,989.50

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Solution

The third proportional to 387,944,097.75 and 846,995,989.50 is: 1,849,241,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,944,097.75 : 846,995,989.50 = 846,995,989.50 : x
  2. Step 2: Convert to fraction form
    387,944,097.75/846,995,989.50 = 846,995,989.50/x
  3. Step 3: Cross multiply
    387,944,097.75x = 846,995,989.50 × 846,995,989.50
  4. Step 4: Simplify right side
    387,944,097.75x = 717,402,206,229,084,160
  5. Step 5: Solve for x
    x = 717,402,206,229,084,160/387,944,097.75
  6. Step 6: Final answer
    x = 1,849,241,193.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.