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Finding the Third Proportional to 19,231,840,816 and 41,774,333,828

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Solution

The third proportional to 19,231,840,816 and 41,774,333,828 is: 90,739,882,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,231,840,816 : 41,774,333,828 = 41,774,333,828 : x
  2. Step 2: Convert to fraction form
    19,231,840,816/41,774,333,828 = 41,774,333,828/x
  3. Step 3: Cross multiply
    19,231,840,816x = 41,774,333,828 × 41,774,333,828
  4. Step 4: Simplify right side
    19,231,840,816x = 1,745,094,966,773,185,249,280
  5. Step 5: Solve for x
    x = 1,745,094,966,773,185,249,280/19,231,840,816
  6. Step 6: Final answer
    x = 90,739,882,025.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.