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Finding the Third Proportional to 115,429,838,226 and 248,231,470,180

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Solution

The third proportional to 115,429,838,226 and 248,231,470,180 is: 533,820,923,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,429,838,226 : 248,231,470,180 = 248,231,470,180 : x
  2. Step 2: Convert to fraction form
    115,429,838,226/248,231,470,180 = 248,231,470,180/x
  3. Step 3: Cross multiply
    115,429,838,226x = 248,231,470,180 × 248,231,470,180
  4. Step 4: Simplify right side
    115,429,838,226x = 61,618,862,787,724,232,884,224
  5. Step 5: Solve for x
    x = 61,618,862,787,724,232,884,224/115,429,838,226
  6. Step 6: Final answer
    x = 533,820,923,036.22

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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.