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Finding the Third Proportional to 5,706,330 and 7,772,013

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Solution

The third proportional to 5,706,330 and 7,772,013 is: 10,585,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706,330 : 7,772,013 = 7,772,013 : x
  2. Step 2: Convert to fraction form
    5,706,330/7,772,013 = 7,772,013/x
  3. Step 3: Cross multiply
    5,706,330x = 7,772,013 × 7,772,013
  4. Step 4: Simplify right side
    5,706,330x = 60,404,186,072,169
  5. Step 5: Solve for x
    x = 60,404,186,072,169/5,706,330
  6. Step 6: Final answer
    x = 10,585,470.18

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.