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Finding the Third Proportional to 11,535,125,970 and 23,681,763,384

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Solution

The third proportional to 11,535,125,970 and 23,681,763,384 is: 48,618,967,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535,125,970 : 23,681,763,384 = 23,681,763,384 : x
  2. Step 2: Convert to fraction form
    11,535,125,970/23,681,763,384 = 23,681,763,384/x
  3. Step 3: Cross multiply
    11,535,125,970x = 23,681,763,384 × 23,681,763,384
  4. Step 4: Simplify right side
    11,535,125,970x = 560,825,916,975,763,161,088
  5. Step 5: Solve for x
    x = 560,825,916,975,763,161,088/11,535,125,970
  6. Step 6: Final answer
    x = 48,618,967,702.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.