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Finding the Third Proportional to 7,142,770 and 10,778,560

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Solution

The third proportional to 7,142,770 and 10,778,560 is: 16,265,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142,770 : 10,778,560 = 10,778,560 : x
  2. Step 2: Convert to fraction form
    7,142,770/10,778,560 = 10,778,560/x
  3. Step 3: Cross multiply
    7,142,770x = 10,778,560 × 10,778,560
  4. Step 4: Simplify right side
    7,142,770x = 116,177,355,673,600
  5. Step 5: Solve for x
    x = 116,177,355,673,600/7,142,770
  6. Step 6: Final answer
    x = 16,265,028.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.