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Finding the Third Proportional to 364,916,105 and 755,701,686

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Solution

The third proportional to 364,916,105 and 755,701,686 is: 1,564,976,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,916,105 : 755,701,686 = 755,701,686 : x
  2. Step 2: Convert to fraction form
    364,916,105/755,701,686 = 755,701,686/x
  3. Step 3: Cross multiply
    364,916,105x = 755,701,686 × 755,701,686
  4. Step 4: Simplify right side
    364,916,105x = 571,085,038,223,242,624
  5. Step 5: Solve for x
    x = 571,085,038,223,242,624/364,916,105
  6. Step 6: Final answer
    x = 1,564,976,251.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.