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Finding the Third Proportional to 13,507,216 and 19,314,024

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Solution

The third proportional to 13,507,216 and 19,314,024 is: 27,617,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507,216 : 19,314,024 = 19,314,024 : x
  2. Step 2: Convert to fraction form
    13,507,216/19,314,024 = 19,314,024/x
  3. Step 3: Cross multiply
    13,507,216x = 19,314,024 × 19,314,024
  4. Step 4: Simplify right side
    13,507,216x = 373,031,523,072,576
  5. Step 5: Solve for x
    x = 373,031,523,072,576/13,507,216
  6. Step 6: Final answer
    x = 27,617,202.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.