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Finding the Third Proportional to 40,443,639,974 and 87,926,711,666

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Solution

The third proportional to 40,443,639,974 and 87,926,711,666 is: 191,157,537,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,443,639,974 : 87,926,711,666 = 87,926,711,666 : x
  2. Step 2: Convert to fraction form
    40,443,639,974/87,926,711,666 = 87,926,711,666/x
  3. Step 3: Cross multiply
    40,443,639,974x = 87,926,711,666 × 87,926,711,666
  4. Step 4: Simplify right side
    40,443,639,974x = 7,731,106,624,395,900,092,416
  5. Step 5: Solve for x
    x = 7,731,106,624,395,900,092,416/40,443,639,974
  6. Step 6: Final answer
    x = 191,157,537,485.89

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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.