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Finding the Third Proportional to 35,452,626.75 and 77,116,880.25

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Solution

The third proportional to 35,452,626.75 and 77,116,880.25 is: 167,745,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,452,626.75 : 77,116,880.25 = 77,116,880.25 : x
  2. Step 2: Convert to fraction form
    35,452,626.75/77,116,880.25 = 77,116,880.25/x
  3. Step 3: Cross multiply
    35,452,626.75x = 77,116,880.25 × 77,116,880.25
  4. Step 4: Simplify right side
    35,452,626.75x = 5,947,013,219,492,840
  5. Step 5: Solve for x
    x = 5,947,013,219,492,840/35,452,626.75
  6. Step 6: Final answer
    x = 167,745,348.22

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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.