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Finding the Third Proportional to 10,746,684 and 22,706,328

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Solution

The third proportional to 10,746,684 and 22,706,328 is: 47,975,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746,684 : 22,706,328 = 22,706,328 : x
  2. Step 2: Convert to fraction form
    10,746,684/22,706,328 = 22,706,328/x
  3. Step 3: Cross multiply
    10,746,684x = 22,706,328 × 22,706,328
  4. Step 4: Simplify right side
    10,746,684x = 515,577,331,243,584
  5. Step 5: Solve for x
    x = 515,577,331,243,584/10,746,684
  6. Step 6: Final answer
    x = 47,975,480.74

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.