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Finding the Third Proportional to 61,471,413.50 and 93,465,838.50

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Solution

The third proportional to 61,471,413.50 and 93,465,838.50 is: 142,112,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,471,413.50 : 93,465,838.50 = 93,465,838.50 : x
  2. Step 2: Convert to fraction form
    61,471,413.50/93,465,838.50 = 93,465,838.50/x
  3. Step 3: Cross multiply
    61,471,413.50x = 93,465,838.50 × 93,465,838.50
  4. Step 4: Simplify right side
    61,471,413.50x = 8,735,862,966,508,082
  5. Step 5: Solve for x
    x = 8,735,862,966,508,082/61,471,413.50
  6. Step 6: Final answer
    x = 142,112,609.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.