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Finding the Third Proportional to 35,156,828 and 77,120,968

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Solution

The third proportional to 35,156,828 and 77,120,968 is: 169,174,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,156,828 : 77,120,968 = 77,120,968 : x
  2. Step 2: Convert to fraction form
    35,156,828/77,120,968 = 77,120,968/x
  3. Step 3: Cross multiply
    35,156,828x = 77,120,968 × 77,120,968
  4. Step 4: Simplify right side
    35,156,828x = 5,947,643,705,257,024
  5. Step 5: Solve for x
    x = 5,947,643,705,257,024/35,156,828
  6. Step 6: Final answer
    x = 169,174,639.57

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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.