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Finding the Third Proportional to 1,261,866,312 and 2,920,992,024

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Solution

The third proportional to 1,261,866,312 and 2,920,992,024 is: 6,761,567,626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,866,312 : 2,920,992,024 = 2,920,992,024 : x
  2. Step 2: Convert to fraction form
    1,261,866,312/2,920,992,024 = 2,920,992,024/x
  3. Step 3: Cross multiply
    1,261,866,312x = 2,920,992,024 × 2,920,992,024
  4. Step 4: Simplify right side
    1,261,866,312x = 8,532,194,404,271,617,024
  5. Step 5: Solve for x
    x = 8,532,194,404,271,617,024/1,261,866,312
  6. Step 6: Final answer
    x = 6,761,567,626.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.