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Finding the Third Proportional to 53,804,083 and 75,497,784

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Solution

The third proportional to 53,804,083 and 75,497,784 is: 105,938,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,804,083 : 75,497,784 = 75,497,784 : x
  2. Step 2: Convert to fraction form
    53,804,083/75,497,784 = 75,497,784/x
  3. Step 3: Cross multiply
    53,804,083x = 75,497,784 × 75,497,784
  4. Step 4: Simplify right side
    53,804,083x = 5,699,915,388,910,656
  5. Step 5: Solve for x
    x = 5,699,915,388,910,656/53,804,083
  6. Step 6: Final answer
    x = 105,938,342.80

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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.