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Finding the Third Proportional to 10,683,916 and 25,195,216

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Solution

The third proportional to 10,683,916 and 25,195,216 is: 59,416,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683,916 : 25,195,216 = 25,195,216 : x
  2. Step 2: Convert to fraction form
    10,683,916/25,195,216 = 25,195,216/x
  3. Step 3: Cross multiply
    10,683,916x = 25,195,216 × 25,195,216
  4. Step 4: Simplify right side
    10,683,916x = 634,798,909,286,656
  5. Step 5: Solve for x
    x = 634,798,909,286,656/10,683,916
  6. Step 6: Final answer
    x = 59,416,314.14

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.