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Finding the Third Proportional to 40,304,136,061.50 and 87,459,163,347

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Solution

The third proportional to 40,304,136,061.50 and 87,459,163,347 is: 189,784,622,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,304,136,061.50 : 87,459,163,347 = 87,459,163,347 : x
  2. Step 2: Convert to fraction form
    40,304,136,061.50/87,459,163,347 = 87,459,163,347/x
  3. Step 3: Cross multiply
    40,304,136,061.50x = 87,459,163,347 × 87,459,163,347
  4. Step 4: Simplify right side
    40,304,136,061.50x = 7,649,105,253,357,227,868,160
  5. Step 5: Solve for x
    x = 7,649,105,253,357,227,868,160/40,304,136,061.50
  6. Step 6: Final answer
    x = 189,784,622,642.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.