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Finding the Third Proportional to 1,164,382,851 and 2,525,226,651

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Solution

The third proportional to 1,164,382,851 and 2,525,226,651 is: 5,476,523,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,382,851 : 2,525,226,651 = 2,525,226,651 : x
  2. Step 2: Convert to fraction form
    1,164,382,851/2,525,226,651 = 2,525,226,651/x
  3. Step 3: Cross multiply
    1,164,382,851x = 2,525,226,651 × 2,525,226,651
  4. Step 4: Simplify right side
    1,164,382,851x = 6,376,769,638,920,675,328
  5. Step 5: Solve for x
    x = 6,376,769,638,920,675,328/1,164,382,851
  6. Step 6: Final answer
    x = 5,476,523,149.96

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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.