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Finding the Third Proportional to 37,885,735.13 and 61,015,006.69

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Solution

The third proportional to 37,885,735.13 and 61,015,006.69 is: 98,264,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,885,735.13 : 61,015,006.69 = 61,015,006.69 : x
  2. Step 2: Convert to fraction form
    37,885,735.13/61,015,006.69 = 61,015,006.69/x
  3. Step 3: Cross multiply
    37,885,735.13x = 61,015,006.69 × 61,015,006.69
  4. Step 4: Simplify right side
    37,885,735.13x = 3,722,831,041,075,669.50
  5. Step 5: Solve for x
    x = 3,722,831,041,075,669.50/37,885,735.13
  6. Step 6: Final answer
    x = 98,264,717.02

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.