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Finding the Third Proportional to 40,304,136,033 and 87,459,163,290

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Solution

The third proportional to 40,304,136,033 and 87,459,163,290 is: 189,784,622,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,304,136,033 : 87,459,163,290 = 87,459,163,290 : x
  2. Step 2: Convert to fraction form
    40,304,136,033/87,459,163,290 = 87,459,163,290/x
  3. Step 3: Cross multiply
    40,304,136,033x = 87,459,163,290 × 87,459,163,290
  4. Step 4: Simplify right side
    40,304,136,033x = 7,649,105,243,386,883,866,624
  5. Step 5: Solve for x
    x = 7,649,105,243,386,883,866,624/40,304,136,033
  6. Step 6: Final answer
    x = 189,784,622,529.16

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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.