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Finding the Third Proportional to 2,928,136,705 and 4,460,815,074

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Solution

The third proportional to 2,928,136,705 and 4,460,815,074 is: 6,795,745,256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928,136,705 : 4,460,815,074 = 4,460,815,074 : x
  2. Step 2: Convert to fraction form
    2,928,136,705/4,460,815,074 = 4,460,815,074/x
  3. Step 3: Cross multiply
    2,928,136,705x = 4,460,815,074 × 4,460,815,074
  4. Step 4: Simplify right side
    2,928,136,705x = 19,898,871,124,425,625,600
  5. Step 5: Solve for x
    x = 19,898,871,124,425,625,600/2,928,136,705
  6. Step 6: Final answer
    x = 6,795,745,256.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.