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Finding the Third Proportional to 2,354,176,060 and 5,046,353,512

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Solution

The third proportional to 2,354,176,060 and 5,046,353,512 is: 10,817,238,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354,176,060 : 5,046,353,512 = 5,046,353,512 : x
  2. Step 2: Convert to fraction form
    2,354,176,060/5,046,353,512 = 5,046,353,512/x
  3. Step 3: Cross multiply
    2,354,176,060x = 5,046,353,512 × 5,046,353,512
  4. Step 4: Simplify right side
    2,354,176,060x = 25,465,683,768,074,735,616
  5. Step 5: Solve for x
    x = 25,465,683,768,074,735,616/2,354,176,060
  6. Step 6: Final answer
    x = 10,817,238,438.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.