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Finding the Third Proportional to 133,094,111,694 and 313,872,867,024

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Solution

The third proportional to 133,094,111,694 and 313,872,867,024 is: 740,199,362,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,094,111,694 : 313,872,867,024 = 313,872,867,024 : x
  2. Step 2: Convert to fraction form
    133,094,111,694/313,872,867,024 = 313,872,867,024/x
  3. Step 3: Cross multiply
    133,094,111,694x = 313,872,867,024 × 313,872,867,024
  4. Step 4: Simplify right side
    133,094,111,694x = 98,516,176,653,865,581,543,424
  5. Step 5: Solve for x
    x = 98,516,176,653,865,581,543,424/133,094,111,694
  6. Step 6: Final answer
    x = 740,199,362,691.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.