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Finding the Third Proportional to 35,174,421 and 77,504,688

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Solution

The third proportional to 35,174,421 and 77,504,688 is: 170,776,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,174,421 : 77,504,688 = 77,504,688 : x
  2. Step 2: Convert to fraction form
    35,174,421/77,504,688 = 77,504,688/x
  3. Step 3: Cross multiply
    35,174,421x = 77,504,688 × 77,504,688
  4. Step 4: Simplify right side
    35,174,421x = 6,006,976,661,977,344
  5. Step 5: Solve for x
    x = 6,006,976,661,977,344/35,174,421
  6. Step 6: Final answer
    x = 170,776,845.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.