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Finding the Third Proportional to 9,827,064 and 21,263,784

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Solution

The third proportional to 9,827,064 and 21,263,784 is: 46,010,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827,064 : 21,263,784 = 21,263,784 : x
  2. Step 2: Convert to fraction form
    9,827,064/21,263,784 = 21,263,784/x
  3. Step 3: Cross multiply
    9,827,064x = 21,263,784 × 21,263,784
  4. Step 4: Simplify right side
    9,827,064x = 452,148,509,998,656
  5. Step 5: Solve for x
    x = 452,148,509,998,656/9,827,064
  6. Step 6: Final answer
    x = 46,010,538.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.