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Finding the Third Proportional to 8,269,071,246 and 12,710,160,441

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Solution

The third proportional to 8,269,071,246 and 12,710,160,441 is: 19,536,435,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269,071,246 : 12,710,160,441 = 12,710,160,441 : x
  2. Step 2: Convert to fraction form
    8,269,071,246/12,710,160,441 = 12,710,160,441/x
  3. Step 3: Cross multiply
    8,269,071,246x = 12,710,160,441 × 12,710,160,441
  4. Step 4: Simplify right side
    8,269,071,246x = 161,548,178,435,961,323,520
  5. Step 5: Solve for x
    x = 161,548,178,435,961,323,520/8,269,071,246
  6. Step 6: Final answer
    x = 19,536,435,668.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.