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Finding the Third Proportional to 39,461,836,869 and 93,122,872,011

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Solution

The third proportional to 39,461,836,869 and 93,122,872,011 is: 219,753,310,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461,836,869 : 93,122,872,011 = 93,122,872,011 : x
  2. Step 2: Convert to fraction form
    39,461,836,869/93,122,872,011 = 93,122,872,011/x
  3. Step 3: Cross multiply
    39,461,836,869x = 93,122,872,011 × 93,122,872,011
  4. Step 4: Simplify right side
    39,461,836,869x = 8,671,869,291,577,087,098,880
  5. Step 5: Solve for x
    x = 8,671,869,291,577,087,098,880/39,461,836,869
  6. Step 6: Final answer
    x = 219,753,310,530.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.