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Finding the Third Proportional to 76,525,304,598 and 107,717,532,921

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Solution

The third proportional to 76,525,304,598 and 107,717,532,921 is: 151,623,923,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,525,304,598 : 107,717,532,921 = 107,717,532,921 : x
  2. Step 2: Convert to fraction form
    76,525,304,598/107,717,532,921 = 107,717,532,921/x
  3. Step 3: Cross multiply
    76,525,304,598x = 107,717,532,921 × 107,717,532,921
  4. Step 4: Simplify right side
    76,525,304,598x = 11,603,066,898,586,718,437,376
  5. Step 5: Solve for x
    x = 11,603,066,898,586,718,437,376/76,525,304,598
  6. Step 6: Final answer
    x = 151,623,923,087.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.