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Finding the Third Proportional to 9,734,526 and 15,269,904

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Solution

The third proportional to 9,734,526 and 15,269,904 is: 23,952,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734,526 : 15,269,904 = 15,269,904 : x
  2. Step 2: Convert to fraction form
    9,734,526/15,269,904 = 15,269,904/x
  3. Step 3: Cross multiply
    9,734,526x = 15,269,904 × 15,269,904
  4. Step 4: Simplify right side
    9,734,526x = 233,169,968,169,216
  5. Step 5: Solve for x
    x = 233,169,968,169,216/9,734,526
  6. Step 6: Final answer
    x = 23,952,883.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.