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Finding the Third Proportional to 1,107,993,216 and 1,729,069,500

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Solution

The third proportional to 1,107,993,216 and 1,729,069,500 is: 2,698,284,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,993,216 : 1,729,069,500 = 1,729,069,500 : x
  2. Step 2: Convert to fraction form
    1,107,993,216/1,729,069,500 = 1,729,069,500/x
  3. Step 3: Cross multiply
    1,107,993,216x = 1,729,069,500 × 1,729,069,500
  4. Step 4: Simplify right side
    1,107,993,216x = 2,989,681,335,830,249,984
  5. Step 5: Solve for x
    x = 2,989,681,335,830,249,984/1,107,993,216
  6. Step 6: Final answer
    x = 2,698,284,874.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.