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Finding the Third Proportional to 1,049,540,306 and 2,429,750,141

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Solution

The third proportional to 1,049,540,306 and 2,429,750,141 is: 5,625,020,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,540,306 : 2,429,750,141 = 2,429,750,141 : x
  2. Step 2: Convert to fraction form
    1,049,540,306/2,429,750,141 = 2,429,750,141/x
  3. Step 3: Cross multiply
    1,049,540,306x = 2,429,750,141 × 2,429,750,141
  4. Step 4: Simplify right side
    1,049,540,306x = 5,903,685,747,689,520,128
  5. Step 5: Solve for x
    x = 5,903,685,747,689,520,128/1,049,540,306
  6. Step 6: Final answer
    x = 5,625,020,510.35

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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.