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Finding the Third Proportional to 19,657,788.75 and 30,770,075.81

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Solution

The third proportional to 19,657,788.75 and 30,770,075.81 is: 48,163,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657,788.75 : 30,770,075.81 = 30,770,075.81 : x
  2. Step 2: Convert to fraction form
    19,657,788.75/30,770,075.81 = 30,770,075.81/x
  3. Step 3: Cross multiply
    19,657,788.75x = 30,770,075.81 × 30,770,075.81
  4. Step 4: Simplify right side
    19,657,788.75x = 946,797,565,506,997.50
  5. Step 5: Solve for x
    x = 946,797,565,506,997.50/19,657,788.75
  6. Step 6: Final answer
    x = 48,163,991.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.