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Finding the Third Proportional to 1,132,864,868 and 1,749,608,023

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Solution

The third proportional to 1,132,864,868 and 1,749,608,023 is: 2,702,112,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132,864,868 : 1,749,608,023 = 1,749,608,023 : x
  2. Step 2: Convert to fraction form
    1,132,864,868/1,749,608,023 = 1,749,608,023/x
  3. Step 3: Cross multiply
    1,132,864,868x = 1,749,608,023 × 1,749,608,023
  4. Step 4: Simplify right side
    1,132,864,868x = 3,061,128,234,145,968,640
  5. Step 5: Solve for x
    x = 3,061,128,234,145,968,640/1,132,864,868
  6. Step 6: Final answer
    x = 2,702,112,423.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.