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Finding the Third Proportional to 9,787,564 and 21,565,784

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Solution

The third proportional to 9,787,564 and 21,565,784 is: 47,517,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787,564 : 21,565,784 = 21,565,784 : x
  2. Step 2: Convert to fraction form
    9,787,564/21,565,784 = 21,565,784/x
  3. Step 3: Cross multiply
    9,787,564x = 21,565,784 × 21,565,784
  4. Step 4: Simplify right side
    9,787,564x = 465,083,039,534,656
  5. Step 5: Solve for x
    x = 465,083,039,534,656/9,787,564
  6. Step 6: Final answer
    x = 47,517,752.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.