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Finding the Third Proportional to 5,767,316 and 13,614,295

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Solution

The third proportional to 5,767,316 and 13,614,295 is: 32,137,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767,316 : 13,614,295 = 13,614,295 : x
  2. Step 2: Convert to fraction form
    5,767,316/13,614,295 = 13,614,295/x
  3. Step 3: Cross multiply
    5,767,316x = 13,614,295 × 13,614,295
  4. Step 4: Simplify right side
    5,767,316x = 185,349,028,347,025
  5. Step 5: Solve for x
    x = 185,349,028,347,025/5,767,316
  6. Step 6: Final answer
    x = 32,137,831.25

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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.