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Finding the Third Proportional to 11,196,574,472 and 24,054,775,816

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Solution

The third proportional to 11,196,574,472 and 24,054,775,816 is: 51,679,398,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196,574,472 : 24,054,775,816 = 24,054,775,816 : x
  2. Step 2: Convert to fraction form
    11,196,574,472/24,054,775,816 = 24,054,775,816/x
  3. Step 3: Cross multiply
    11,196,574,472x = 24,054,775,816 × 24,054,775,816
  4. Step 4: Simplify right side
    11,196,574,472x = 578,632,239,558,018,465,792
  5. Step 5: Solve for x
    x = 578,632,239,558,018,465,792/11,196,574,472
  6. Step 6: Final answer
    x = 51,679,398,998.78

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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.