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Finding the Third Proportional to 1,220,466,776.06 and 2,648,992,701.94

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Solution

The third proportional to 1,220,466,776.06 and 2,648,992,701.94 is: 5,749,572,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,466,776.06 : 2,648,992,701.94 = 2,648,992,701.94 : x
  2. Step 2: Convert to fraction form
    1,220,466,776.06/2,648,992,701.94 = 2,648,992,701.94/x
  3. Step 3: Cross multiply
    1,220,466,776.06x = 2,648,992,701.94 × 2,648,992,701.94
  4. Step 4: Simplify right side
    1,220,466,776.06x = 7,017,162,334,918,136,832
  5. Step 5: Solve for x
    x = 7,017,162,334,918,136,832/1,220,466,776.06
  6. Step 6: Final answer
    x = 5,749,572,600.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.