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Finding the Third Proportional to 53,222,004 and 115,478,424

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Solution

The third proportional to 53,222,004 and 115,478,424 is: 250,559,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,222,004 : 115,478,424 = 115,478,424 : x
  2. Step 2: Convert to fraction form
    53,222,004/115,478,424 = 115,478,424/x
  3. Step 3: Cross multiply
    53,222,004x = 115,478,424 × 115,478,424
  4. Step 4: Simplify right side
    53,222,004x = 13,335,266,409,523,776
  5. Step 5: Solve for x
    x = 13,335,266,409,523,776/53,222,004
  6. Step 6: Final answer
    x = 250,559,268.86

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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.