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Finding the Third Proportional to 347,781,698 and 750,042,864

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Solution

The third proportional to 347,781,698 and 750,042,864 is: 1,617,578,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,781,698 : 750,042,864 = 750,042,864 : x
  2. Step 2: Convert to fraction form
    347,781,698/750,042,864 = 750,042,864/x
  3. Step 3: Cross multiply
    347,781,698x = 750,042,864 × 750,042,864
  4. Step 4: Simplify right side
    347,781,698x = 562,564,297,837,322,496
  5. Step 5: Solve for x
    x = 562,564,297,837,322,496/347,781,698
  6. Step 6: Final answer
    x = 1,617,578,788.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.