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Finding the Third Proportional to 35,393,997.94 and 75,706,012.13

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Solution

The third proportional to 35,393,997.94 and 75,706,012.13 is: 161,931,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,393,997.94 : 75,706,012.13 = 75,706,012.13 : x
  2. Step 2: Convert to fraction form
    35,393,997.94/75,706,012.13 = 75,706,012.13/x
  3. Step 3: Cross multiply
    35,393,997.94x = 75,706,012.13 × 75,706,012.13
  4. Step 4: Simplify right side
    35,393,997.94x = 5,731,400,271,870,647
  5. Step 5: Solve for x
    x = 5,731,400,271,870,647/35,393,997.94
  6. Step 6: Final answer
    x = 161,931,417.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.