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Finding the Third Proportional to 62,869,747,023 and 137,118,256,600.50

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Solution

The third proportional to 62,869,747,023 and 137,118,256,600.50 is: 299,053,474,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,869,747,023 : 137,118,256,600.50 = 137,118,256,600.50 : x
  2. Step 2: Convert to fraction form
    62,869,747,023/137,118,256,600.50 = 137,118,256,600.50/x
  3. Step 3: Cross multiply
    62,869,747,023x = 137,118,256,600.50 × 137,118,256,600.50
  4. Step 4: Simplify right side
    62,869,747,023x = 18,801,416,293,160,562,196,480
  5. Step 5: Solve for x
    x = 18,801,416,293,160,562,196,480/62,869,747,023
  6. Step 6: Final answer
    x = 299,053,474,579.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.