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Finding the Third Proportional to 53,670,216 and 117,884,040

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Solution

The third proportional to 53,670,216 and 117,884,040 is: 258,926,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,670,216 : 117,884,040 = 117,884,040 : x
  2. Step 2: Convert to fraction form
    53,670,216/117,884,040 = 117,884,040/x
  3. Step 3: Cross multiply
    53,670,216x = 117,884,040 × 117,884,040
  4. Step 4: Simplify right side
    53,670,216x = 13,896,646,886,721,600
  5. Step 5: Solve for x
    x = 13,896,646,886,721,600/53,670,216
  6. Step 6: Final answer
    x = 258,926,606.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.