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Finding the Third Proportional to 35,701,360 and 77,740,762

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Solution

The third proportional to 35,701,360 and 77,740,762 is: 169,282,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701,360 : 77,740,762 = 77,740,762 : x
  2. Step 2: Convert to fraction form
    35,701,360/77,740,762 = 77,740,762/x
  3. Step 3: Cross multiply
    35,701,360x = 77,740,762 × 77,740,762
  4. Step 4: Simplify right side
    35,701,360x = 6,043,626,076,340,644
  5. Step 5: Solve for x
    x = 6,043,626,076,340,644/35,701,360
  6. Step 6: Final answer
    x = 169,282,796.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.