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Finding the Third Proportional to 10,301,413.93 and 21,450,590.42

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Solution

The third proportional to 10,301,413.93 and 21,450,590.42 is: 44,666,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301,413.93 : 21,450,590.42 = 21,450,590.42 : x
  2. Step 2: Convert to fraction form
    10,301,413.93/21,450,590.42 = 21,450,590.42/x
  3. Step 3: Cross multiply
    10,301,413.93x = 21,450,590.42 × 21,450,590.42
  4. Step 4: Simplify right side
    10,301,413.93x = 460,127,829,551,800.12
  5. Step 5: Solve for x
    x = 460,127,829,551,800.12/10,301,413.93
  6. Step 6: Final answer
    x = 44,666,473.25

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.