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Finding the Third Proportional to 6,539,712 and 15,274,855.50

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Solution

The third proportional to 6,539,712 and 15,274,855.50 is: 35,677,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539,712 : 15,274,855.50 = 15,274,855.50 : x
  2. Step 2: Convert to fraction form
    6,539,712/15,274,855.50 = 15,274,855.50/x
  3. Step 3: Cross multiply
    6,539,712x = 15,274,855.50 × 15,274,855.50
  4. Step 4: Simplify right side
    6,539,712x = 233,321,210,545,880.25
  5. Step 5: Solve for x
    x = 233,321,210,545,880.25/6,539,712
  6. Step 6: Final answer
    x = 35,677,597.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.