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Finding the Third Proportional to 40,533,039,639 and 84,420,974,178.75

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Solution

The third proportional to 40,533,039,639 and 84,420,974,178.75 is: 175,829,420,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,533,039,639 : 84,420,974,178.75 = 84,420,974,178.75 : x
  2. Step 2: Convert to fraction form
    40,533,039,639/84,420,974,178.75 = 84,420,974,178.75/x
  3. Step 3: Cross multiply
    40,533,039,639x = 84,420,974,178.75 × 84,420,974,178.75
  4. Step 4: Simplify right side
    40,533,039,639x = 7,126,900,881,289,174,319,104
  5. Step 5: Solve for x
    x = 7,126,900,881,289,174,319,104/40,533,039,639
  6. Step 6: Final answer
    x = 175,829,420,758.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.