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Finding the Third Proportional to 2,011,238,820 and 4,329,856,080

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Solution

The third proportional to 2,011,238,820 and 4,329,856,080 is: 9,321,445,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,238,820 : 4,329,856,080 = 4,329,856,080 : x
  2. Step 2: Convert to fraction form
    2,011,238,820/4,329,856,080 = 4,329,856,080/x
  3. Step 3: Cross multiply
    2,011,238,820x = 4,329,856,080 × 4,329,856,080
  4. Step 4: Simplify right side
    2,011,238,820x = 18,747,653,673,512,968,192
  5. Step 5: Solve for x
    x = 18,747,653,673,512,968,192/2,011,238,820
  6. Step 6: Final answer
    x = 9,321,445,810.95

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Why These Related Problems?

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