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Finding the Third Proportional to 1,154,815,720 and 2,370,851,729

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Solution

The third proportional to 1,154,815,720 and 2,370,851,729 is: 4,867,389,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,815,720 : 2,370,851,729 = 2,370,851,729 : x
  2. Step 2: Convert to fraction form
    1,154,815,720/2,370,851,729 = 2,370,851,729/x
  3. Step 3: Cross multiply
    1,154,815,720x = 2,370,851,729 × 2,370,851,729
  4. Step 4: Simplify right side
    1,154,815,720x = 5,620,937,920,902,289,408
  5. Step 5: Solve for x
    x = 5,620,937,920,902,289,408/1,154,815,720
  6. Step 6: Final answer
    x = 4,867,389,509.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.