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Finding the Third Proportional to 1,023,612,220 and 2,210,332,472

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Solution

The third proportional to 1,023,612,220 and 2,210,332,472 is: 4,772,871,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,612,220 : 2,210,332,472 = 2,210,332,472 : x
  2. Step 2: Convert to fraction form
    1,023,612,220/2,210,332,472 = 2,210,332,472/x
  3. Step 3: Cross multiply
    1,023,612,220x = 2,210,332,472 × 2,210,332,472
  4. Step 4: Simplify right side
    1,023,612,220x = 4,885,569,636,777,630,720
  5. Step 5: Solve for x
    x = 4,885,569,636,777,630,720/1,023,612,220
  6. Step 6: Final answer
    x = 4,772,871,543.85

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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.