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Finding the Third Proportional to 53,754,413.50 and 83,007,981

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Solution

The third proportional to 53,754,413.50 and 83,007,981 is: 128,181,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,754,413.50 : 83,007,981 = 83,007,981 : x
  2. Step 2: Convert to fraction form
    53,754,413.50/83,007,981 = 83,007,981/x
  3. Step 3: Cross multiply
    53,754,413.50x = 83,007,981 × 83,007,981
  4. Step 4: Simplify right side
    53,754,413.50x = 6,890,324,909,696,361
  5. Step 5: Solve for x
    x = 6,890,324,909,696,361/53,754,413.50
  6. Step 6: Final answer
    x = 128,181,566.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.