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Finding the Third Proportional to 920,565,819 and 2,019,357,922.50

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Solution

The third proportional to 920,565,819 and 2,019,357,922.50 is: 4,429,673,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,565,819 : 2,019,357,922.50 = 2,019,357,922.50 : x
  2. Step 2: Convert to fraction form
    920,565,819/2,019,357,922.50 = 2,019,357,922.50/x
  3. Step 3: Cross multiply
    920,565,819x = 2,019,357,922.50 × 2,019,357,922.50
  4. Step 4: Simplify right side
    920,565,819x = 4,077,806,419,163,515,904
  5. Step 5: Solve for x
    x = 4,077,806,419,163,515,904/920,565,819
  6. Step 6: Final answer
    x = 4,429,673,940.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.