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Finding the Third Proportional to 748,697,676 and 1,615,772,208

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Solution

The third proportional to 748,697,676 and 1,615,772,208 is: 3,487,014,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,697,676 : 1,615,772,208 = 1,615,772,208 : x
  2. Step 2: Convert to fraction form
    748,697,676/1,615,772,208 = 1,615,772,208/x
  3. Step 3: Cross multiply
    748,697,676x = 1,615,772,208 × 1,615,772,208
  4. Step 4: Simplify right side
    748,697,676x = 2,610,719,828,145,195,008
  5. Step 5: Solve for x
    x = 2,610,719,828,145,195,008/748,697,676
  6. Step 6: Final answer
    x = 3,487,014,734.83

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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.