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Finding the Third Proportional to 53,804,085 and 75,497,784.75

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Solution

The third proportional to 53,804,085 and 75,497,784.75 is: 105,938,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,804,085 : 75,497,784.75 = 75,497,784.75 : x
  2. Step 2: Convert to fraction form
    53,804,085/75,497,784.75 = 75,497,784.75/x
  3. Step 3: Cross multiply
    53,804,085x = 75,497,784.75 × 75,497,784.75
  4. Step 4: Simplify right side
    53,804,085x = 5,699,915,502,157,333
  5. Step 5: Solve for x
    x = 5,699,915,502,157,333/53,804,085
  6. Step 6: Final answer
    x = 105,938,340.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.