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Finding the Third Proportional to 1,049,540,304 and 2,429,750,136

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Solution

The third proportional to 1,049,540,304 and 2,429,750,136 is: 5,625,020,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,540,304 : 2,429,750,136 = 2,429,750,136 : x
  2. Step 2: Convert to fraction form
    1,049,540,304/2,429,750,136 = 2,429,750,136/x
  3. Step 3: Cross multiply
    1,049,540,304x = 2,429,750,136 × 2,429,750,136
  4. Step 4: Simplify right side
    1,049,540,304x = 5,903,685,723,392,018,432
  5. Step 5: Solve for x
    x = 5,903,685,723,392,018,432/1,049,540,304
  6. Step 6: Final answer
    x = 5,625,020,497.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.