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Finding the Third Proportional to 545,069,991 and 817,404,808.50

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Solution

The third proportional to 545,069,991 and 817,404,808.50 is: 1,225,807,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,069,991 : 817,404,808.50 = 817,404,808.50 : x
  2. Step 2: Convert to fraction form
    545,069,991/817,404,808.50 = 817,404,808.50/x
  3. Step 3: Cross multiply
    545,069,991x = 817,404,808.50 × 817,404,808.50
  4. Step 4: Simplify right side
    545,069,991x = 668,150,620,958,921,728
  5. Step 5: Solve for x
    x = 668,150,620,958,921,728/545,069,991
  6. Step 6: Final answer
    x = 1,225,807,019.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.