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Finding the Third Proportional to 53,842,982 and 117,553,706

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Solution

The third proportional to 53,842,982 and 117,553,706 is: 256,651,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842,982 : 117,553,706 = 117,553,706 : x
  2. Step 2: Convert to fraction form
    53,842,982/117,553,706 = 117,553,706/x
  3. Step 3: Cross multiply
    53,842,982x = 117,553,706 × 117,553,706
  4. Step 4: Simplify right side
    53,842,982x = 13,818,873,794,334,436
  5. Step 5: Solve for x
    x = 13,818,873,794,334,436/53,842,982
  6. Step 6: Final answer
    x = 256,651,345.84

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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.