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Finding the Third Proportional to 37,535,488 and 82,245,428

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Solution

The third proportional to 37,535,488 and 82,245,428 is: 180,211,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,535,488 : 82,245,428 = 82,245,428 : x
  2. Step 2: Convert to fraction form
    37,535,488/82,245,428 = 82,245,428/x
  3. Step 3: Cross multiply
    37,535,488x = 82,245,428 × 82,245,428
  4. Step 4: Simplify right side
    37,535,488x = 6,764,310,426,903,184
  5. Step 5: Solve for x
    x = 6,764,310,426,903,184/37,535,488
  6. Step 6: Final answer
    x = 180,211,069.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.