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Finding the Third Proportional to 7,294,047 and 15,872,431

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Solution

The third proportional to 7,294,047 and 15,872,431 is: 34,539,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294,047 : 15,872,431 = 15,872,431 : x
  2. Step 2: Convert to fraction form
    7,294,047/15,872,431 = 15,872,431/x
  3. Step 3: Cross multiply
    7,294,047x = 15,872,431 × 15,872,431
  4. Step 4: Simplify right side
    7,294,047x = 251,934,065,849,761
  5. Step 5: Solve for x
    x = 251,934,065,849,761/7,294,047
  6. Step 6: Final answer
    x = 34,539,682.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.