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Finding the Third Proportional to 1,268,352,700 and 2,786,128,376

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Solution

The third proportional to 1,268,352,700 and 2,786,128,376 is: 6,120,152,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,352,700 : 2,786,128,376 = 2,786,128,376 : x
  2. Step 2: Convert to fraction form
    1,268,352,700/2,786,128,376 = 2,786,128,376/x
  3. Step 3: Cross multiply
    1,268,352,700x = 2,786,128,376 × 2,786,128,376
  4. Step 4: Simplify right side
    1,268,352,700x = 7,762,511,327,552,397,312
  5. Step 5: Solve for x
    x = 7,762,511,327,552,397,312/1,268,352,700
  6. Step 6: Final answer
    x = 6,120,152,010.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.