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Finding the Third Proportional to 985,334,797.50 and 1,377,556,038.75

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Solution

The third proportional to 985,334,797.50 and 1,377,556,038.75 is: 1,925,904,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,334,797.50 : 1,377,556,038.75 = 1,377,556,038.75 : x
  2. Step 2: Convert to fraction form
    985,334,797.50/1,377,556,038.75 = 1,377,556,038.75/x
  3. Step 3: Cross multiply
    985,334,797.50x = 1,377,556,038.75 × 1,377,556,038.75
  4. Step 4: Simplify right side
    985,334,797.50x = 1,897,660,639,896,591,616
  5. Step 5: Solve for x
    x = 1,897,660,639,896,591,616/985,334,797.50
  6. Step 6: Final answer
    x = 1,925,904,418.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.