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Finding the Third Proportional to 530,313,743 and 1,250,096,940

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Solution

The third proportional to 530,313,743 and 1,250,096,940 is: 2,946,826,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,313,743 : 1,250,096,940 = 1,250,096,940 : x
  2. Step 2: Convert to fraction form
    530,313,743/1,250,096,940 = 1,250,096,940/x
  3. Step 3: Cross multiply
    530,313,743x = 1,250,096,940 × 1,250,096,940
  4. Step 4: Simplify right side
    530,313,743x = 1,562,742,359,397,363,712
  5. Step 5: Solve for x
    x = 1,562,742,359,397,363,712/530,313,743
  6. Step 6: Final answer
    x = 2,946,826,062.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.