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Finding the Third Proportional to 710,370,912 and 1,498,479,972

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Solution

The third proportional to 710,370,912 and 1,498,479,972 is: 3,160,943,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,370,912 : 1,498,479,972 = 1,498,479,972 : x
  2. Step 2: Convert to fraction form
    710,370,912/1,498,479,972 = 1,498,479,972/x
  3. Step 3: Cross multiply
    710,370,912x = 1,498,479,972 × 1,498,479,972
  4. Step 4: Simplify right side
    710,370,912x = 2,245,442,226,485,120,768
  5. Step 5: Solve for x
    x = 2,245,442,226,485,120,768/710,370,912
  6. Step 6: Final answer
    x = 3,160,943,372.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.