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Finding the Third Proportional to 40,304,136,061 and 87,459,163,345

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Solution

The third proportional to 40,304,136,061 and 87,459,163,345 is: 189,784,622,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,304,136,061 : 87,459,163,345 = 87,459,163,345 : x
  2. Step 2: Convert to fraction form
    40,304,136,061/87,459,163,345 = 87,459,163,345/x
  3. Step 3: Cross multiply
    40,304,136,061x = 87,459,163,345 × 87,459,163,345
  4. Step 4: Simplify right side
    40,304,136,061x = 7,649,105,253,007,391,457,280
  5. Step 5: Solve for x
    x = 7,649,105,253,007,391,457,280/40,304,136,061
  6. Step 6: Final answer
    x = 189,784,622,636.01

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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.