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Finding the Third Proportional to 35,456,320 and 77,638,689

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Solution

The third proportional to 35,456,320 and 77,638,689 is: 170,005,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,456,320 : 77,638,689 = 77,638,689 : x
  2. Step 2: Convert to fraction form
    35,456,320/77,638,689 = 77,638,689/x
  3. Step 3: Cross multiply
    35,456,320x = 77,638,689 × 77,638,689
  4. Step 4: Simplify right side
    35,456,320x = 6,027,766,029,638,721
  5. Step 5: Solve for x
    x = 6,027,766,029,638,721/35,456,320
  6. Step 6: Final answer
    x = 170,005,404.67

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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.