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Finding the Third Proportional to 1,194,595,746.75 and 1,660,989,897.75

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Solution

The third proportional to 1,194,595,746.75 and 1,660,989,897.75 is: 2,309,473,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,595,746.75 : 1,660,989,897.75 = 1,660,989,897.75 : x
  2. Step 2: Convert to fraction form
    1,194,595,746.75/1,660,989,897.75 = 1,660,989,897.75/x
  3. Step 3: Cross multiply
    1,194,595,746.75x = 1,660,989,897.75 × 1,660,989,897.75
  4. Step 4: Simplify right side
    1,194,595,746.75x = 2,758,887,440,427,555,328
  5. Step 5: Solve for x
    x = 2,758,887,440,427,555,328/1,194,595,746.75
  6. Step 6: Final answer
    x = 2,309,473,684.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.