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Finding the Third Proportional to 697,359,468 and 1,530,750,864

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Solution

The third proportional to 697,359,468 and 1,530,750,864 is: 3,360,100,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,359,468 : 1,530,750,864 = 1,530,750,864 : x
  2. Step 2: Convert to fraction form
    697,359,468/1,530,750,864 = 1,530,750,864/x
  3. Step 3: Cross multiply
    697,359,468x = 1,530,750,864 × 1,530,750,864
  4. Step 4: Simplify right side
    697,359,468x = 2,343,198,207,636,746,240
  5. Step 5: Solve for x
    x = 2,343,198,207,636,746,240/697,359,468
  6. Step 6: Final answer
    x = 3,360,100,945.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.