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Finding the Third Proportional to 53,842,977 and 117,553,698

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Solution

The third proportional to 53,842,977 and 117,553,698 is: 256,651,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842,977 : 117,553,698 = 117,553,698 : x
  2. Step 2: Convert to fraction form
    53,842,977/117,553,698 = 117,553,698/x
  3. Step 3: Cross multiply
    53,842,977x = 117,553,698 × 117,553,698
  4. Step 4: Simplify right side
    53,842,977x = 13,818,871,913,475,204
  5. Step 5: Solve for x
    x = 13,818,871,913,475,204/53,842,977
  6. Step 6: Final answer
    x = 256,651,334.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.