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Finding the Third Proportional to 35,986,359.50 and 77,706,988.25

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Solution

The third proportional to 35,986,359.50 and 77,706,988.25 is: 167,796,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986,359.50 : 77,706,988.25 = 77,706,988.25 : x
  2. Step 2: Convert to fraction form
    35,986,359.50/77,706,988.25 = 77,706,988.25/x
  3. Step 3: Cross multiply
    35,986,359.50x = 77,706,988.25 × 77,706,988.25
  4. Step 4: Simplify right side
    35,986,359.50x = 6,038,376,022,885,638
  5. Step 5: Solve for x
    x = 6,038,376,022,885,638/35,986,359.50
  6. Step 6: Final answer
    x = 167,796,245.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.