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Finding the Third Proportional to 656,051,208 and 1,445,826,540

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Solution

The third proportional to 656,051,208 and 1,445,826,540 is: 3,186,358,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,051,208 : 1,445,826,540 = 1,445,826,540 : x
  2. Step 2: Convert to fraction form
    656,051,208/1,445,826,540 = 1,445,826,540/x
  3. Step 3: Cross multiply
    656,051,208x = 1,445,826,540 × 1,445,826,540
  4. Step 4: Simplify right side
    656,051,208x = 2,090,414,383,768,371,712
  5. Step 5: Solve for x
    x = 2,090,414,383,768,371,712/656,051,208
  6. Step 6: Final answer
    x = 3,186,358,562.07

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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.