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Finding the Third Proportional to 3,564,768 and 7,697,706

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Solution

The third proportional to 3,564,768 and 7,697,706 is: 16,622,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564,768 : 7,697,706 = 7,697,706 : x
  2. Step 2: Convert to fraction form
    3,564,768/7,697,706 = 7,697,706/x
  3. Step 3: Cross multiply
    3,564,768x = 7,697,706 × 7,697,706
  4. Step 4: Simplify right side
    3,564,768x = 59,254,677,662,436
  5. Step 5: Solve for x
    x = 59,254,677,662,436/3,564,768
  6. Step 6: Final answer
    x = 16,622,309.69

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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.