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Finding the Third Proportional to 670,413,674 and 1,443,287,434

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Solution

The third proportional to 670,413,674 and 1,443,287,434 is: 3,107,154,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,413,674 : 1,443,287,434 = 1,443,287,434 : x
  2. Step 2: Convert to fraction form
    670,413,674/1,443,287,434 = 1,443,287,434/x
  3. Step 3: Cross multiply
    670,413,674x = 1,443,287,434 × 1,443,287,434
  4. Step 4: Simplify right side
    670,413,674x = 2,083,078,617,142,304,256
  5. Step 5: Solve for x
    x = 2,083,078,617,142,304,256/670,413,674
  6. Step 6: Final answer
    x = 3,107,154,131.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.