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Finding the Third Proportional to 10,301,658,904 and 22,314,726,208

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Solution

The third proportional to 10,301,658,904 and 22,314,726,208 is: 48,336,584,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301,658,904 : 22,314,726,208 = 22,314,726,208 : x
  2. Step 2: Convert to fraction form
    10,301,658,904/22,314,726,208 = 22,314,726,208/x
  3. Step 3: Cross multiply
    10,301,658,904x = 22,314,726,208 × 22,314,726,208
  4. Step 4: Simplify right side
    10,301,658,904x = 497,947,005,738,002,087,936
  5. Step 5: Solve for x
    x = 497,947,005,738,002,087,936/10,301,658,904
  6. Step 6: Final answer
    x = 48,336,584,464.53

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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.