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Finding the Third Proportional to 452,154,315 and 979,442,682

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Solution

The third proportional to 452,154,315 and 979,442,682 is: 2,121,638,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,154,315 : 979,442,682 = 979,442,682 : x
  2. Step 2: Convert to fraction form
    452,154,315/979,442,682 = 979,442,682/x
  3. Step 3: Cross multiply
    452,154,315x = 979,442,682 × 979,442,682
  4. Step 4: Simplify right side
    452,154,315x = 959,307,967,323,353,088
  5. Step 5: Solve for x
    x = 959,307,967,323,353,088/452,154,315
  6. Step 6: Final answer
    x = 2,121,638,421.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.