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Finding the Third Proportional to 313,706,048.81 and 474,593,752.13

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Solution

The third proportional to 313,706,048.81 and 474,593,752.13 is: 717,994,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,706,048.81 : 474,593,752.13 = 474,593,752.13 : x
  2. Step 2: Convert to fraction form
    313,706,048.81/474,593,752.13 = 474,593,752.13/x
  3. Step 3: Cross multiply
    313,706,048.81x = 474,593,752.13 × 474,593,752.13
  4. Step 4: Simplify right side
    313,706,048.81x = 225,239,229,556,085,952
  5. Step 5: Solve for x
    x = 225,239,229,556,085,952/313,706,048.81
  6. Step 6: Final answer
    x = 717,994,537.91

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Why These Related Problems?

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