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Finding the Third Proportional to 2,877,738,537 and 6,262,211,169

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Solution

The third proportional to 2,877,738,537 and 6,262,211,169 is: 13,627,120,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,738,537 : 6,262,211,169 = 6,262,211,169 : x
  2. Step 2: Convert to fraction form
    2,877,738,537/6,262,211,169 = 6,262,211,169/x
  3. Step 3: Cross multiply
    2,877,738,537x = 6,262,211,169 × 6,262,211,169
  4. Step 4: Simplify right side
    2,877,738,537x = 39,215,288,725,148,344,320
  5. Step 5: Solve for x
    x = 39,215,288,725,148,344,320/2,877,738,537
  6. Step 6: Final answer
    x = 13,627,120,122.60

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Why These Related Problems?

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