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Finding the Third Proportional to 2,378,943 and 5,144,971.50

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Solution

The third proportional to 2,378,943 and 5,144,971.50 is: 11,127,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,943 : 5,144,971.50 = 5,144,971.50 : x
  2. Step 2: Convert to fraction form
    2,378,943/5,144,971.50 = 5,144,971.50/x
  3. Step 3: Cross multiply
    2,378,943x = 5,144,971.50 × 5,144,971.50
  4. Step 4: Simplify right side
    2,378,943x = 26,470,731,735,812.25
  5. Step 5: Solve for x
    x = 26,470,731,735,812.25/2,378,943
  6. Step 6: Final answer
    x = 11,127,097.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.