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Finding the Third Proportional to 10,473,670,108 and 15,695,184,304

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Solution

The third proportional to 10,473,670,108 and 15,695,184,304 is: 23,519,817,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473,670,108 : 15,695,184,304 = 15,695,184,304 : x
  2. Step 2: Convert to fraction form
    10,473,670,108/15,695,184,304 = 15,695,184,304/x
  3. Step 3: Cross multiply
    10,473,670,108x = 15,695,184,304 × 15,695,184,304
  4. Step 4: Simplify right side
    10,473,670,108x = 246,338,810,336,527,974,400
  5. Step 5: Solve for x
    x = 246,338,810,336,527,974,400/10,473,670,108
  6. Step 6: Final answer
    x = 23,519,817,580.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.