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Finding the Third Proportional to 37,984,960 and 77,312,332

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Solution

The third proportional to 37,984,960 and 77,312,332 is: 157,356,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,984,960 : 77,312,332 = 77,312,332 : x
  2. Step 2: Convert to fraction form
    37,984,960/77,312,332 = 77,312,332/x
  3. Step 3: Cross multiply
    37,984,960x = 77,312,332 × 77,312,332
  4. Step 4: Simplify right side
    37,984,960x = 5,977,196,679,278,224
  5. Step 5: Solve for x
    x = 5,977,196,679,278,224/37,984,960
  6. Step 6: Final answer
    x = 157,356,929.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.