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Finding the Third Proportional to 35,836,492.50 and 55,338,954.75

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Solution

The third proportional to 35,836,492.50 and 55,338,954.75 is: 85,454,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,836,492.50 : 55,338,954.75 = 55,338,954.75 : x
  2. Step 2: Convert to fraction form
    35,836,492.50/55,338,954.75 = 55,338,954.75/x
  3. Step 3: Cross multiply
    35,836,492.50x = 55,338,954.75 × 55,338,954.75
  4. Step 4: Simplify right side
    35,836,492.50x = 3,062,399,912,822,547.50
  5. Step 5: Solve for x
    x = 3,062,399,912,822,547.50/35,836,492.50
  6. Step 6: Final answer
    x = 85,454,789.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.