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Finding the Third Proportional to 9,843,784 and 15,406,838

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Solution

The third proportional to 9,843,784 and 15,406,838 is: 24,113,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,784 : 15,406,838 = 15,406,838 : x
  2. Step 2: Convert to fraction form
    9,843,784/15,406,838 = 15,406,838/x
  3. Step 3: Cross multiply
    9,843,784x = 15,406,838 × 15,406,838
  4. Step 4: Simplify right side
    9,843,784x = 237,370,657,158,244
  5. Step 5: Solve for x
    x = 237,370,657,158,244/9,843,784
  6. Step 6: Final answer
    x = 24,113,761.25

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