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Finding the Third Proportional to 37,985,000 and 77,312,410

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Solution

The third proportional to 37,985,000 and 77,312,410 is: 157,357,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,985,000 : 77,312,410 = 77,312,410 : x
  2. Step 2: Convert to fraction form
    37,985,000/77,312,410 = 77,312,410/x
  3. Step 3: Cross multiply
    37,985,000x = 77,312,410 × 77,312,410
  4. Step 4: Simplify right side
    37,985,000x = 5,977,208,740,008,100
  5. Step 5: Solve for x
    x = 5,977,208,740,008,100/37,985,000
  6. Step 6: Final answer
    x = 157,357,081.48

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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.