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Finding the Third Proportional to 53,926,820 and 115,411,912

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Solution

The third proportional to 53,926,820 and 115,411,912 is: 246,999,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,926,820 : 115,411,912 = 115,411,912 : x
  2. Step 2: Convert to fraction form
    53,926,820/115,411,912 = 115,411,912/x
  3. Step 3: Cross multiply
    53,926,820x = 115,411,912 × 115,411,912
  4. Step 4: Simplify right side
    53,926,820x = 13,319,909,431,495,744
  5. Step 5: Solve for x
    x = 13,319,909,431,495,744/53,926,820
  6. Step 6: Final answer
    x = 246,999,719.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.