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Finding the Third Proportional to 3,531,264,066 and 7,569,530,217

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Solution

The third proportional to 3,531,264,066 and 7,569,530,217 is: 16,225,857,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531,264,066 : 7,569,530,217 = 7,569,530,217 : x
  2. Step 2: Convert to fraction form
    3,531,264,066/7,569,530,217 = 7,569,530,217/x
  3. Step 3: Cross multiply
    3,531,264,066x = 7,569,530,217 × 7,569,530,217
  4. Step 4: Simplify right side
    3,531,264,066x = 57,297,787,706,076,069,888
  5. Step 5: Solve for x
    x = 57,297,787,706,076,069,888/3,531,264,066
  6. Step 6: Final answer
    x = 16,225,857,549.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.