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Finding the Third Proportional to 5,152,340,784 and 11,316,867,936

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Solution

The third proportional to 5,152,340,784 and 11,316,867,936 is: 24,856,954,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152,340,784 : 11,316,867,936 = 11,316,867,936 : x
  2. Step 2: Convert to fraction form
    5,152,340,784/11,316,867,936 = 11,316,867,936/x
  3. Step 3: Cross multiply
    5,152,340,784x = 11,316,867,936 × 11,316,867,936
  4. Step 4: Simplify right side
    5,152,340,784x = 128,071,499,880,864,907,264
  5. Step 5: Solve for x
    x = 128,071,499,880,864,907,264/5,152,340,784
  6. Step 6: Final answer
    x = 24,856,954,392.18

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Why These Related Problems?

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