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Finding the Third Proportional to 768,747,041 and 1,148,083,023

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Solution

The third proportional to 768,747,041 and 1,148,083,023 is: 1,714,601,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,747,041 : 1,148,083,023 = 1,148,083,023 : x
  2. Step 2: Convert to fraction form
    768,747,041/1,148,083,023 = 1,148,083,023/x
  3. Step 3: Cross multiply
    768,747,041x = 1,148,083,023 × 1,148,083,023
  4. Step 4: Simplify right side
    768,747,041x = 1,318,094,627,700,818,432
  5. Step 5: Solve for x
    x = 1,318,094,627,700,818,432/768,747,041
  6. Step 6: Final answer
    x = 1,714,601,237.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.