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Finding the Third Proportional to 53,804,085 and 75,497,787

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Solution

The third proportional to 53,804,085 and 75,497,787 is: 105,938,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,804,085 : 75,497,787 = 75,497,787 : x
  2. Step 2: Convert to fraction form
    53,804,085/75,497,787 = 75,497,787/x
  3. Step 3: Cross multiply
    53,804,085x = 75,497,787 × 75,497,787
  4. Step 4: Simplify right side
    53,804,085x = 5,699,915,841,897,369
  5. Step 5: Solve for x
    x = 5,699,915,841,897,369/53,804,085
  6. Step 6: Final answer
    x = 105,938,347.28

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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.