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Finding the Third Proportional to 35,452,665 and 77,116,954.50

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Solution

The third proportional to 35,452,665 and 77,116,954.50 is: 167,745,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,452,665 : 77,116,954.50 = 77,116,954.50 : x
  2. Step 2: Convert to fraction form
    35,452,665/77,116,954.50 = 77,116,954.50/x
  3. Step 3: Cross multiply
    35,452,665x = 77,116,954.50 × 77,116,954.50
  4. Step 4: Simplify right side
    35,452,665x = 5,947,024,671,355,070
  5. Step 5: Solve for x
    x = 5,947,024,671,355,070/35,452,665
  6. Step 6: Final answer
    x = 167,745,490.26

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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.