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Finding the Third Proportional to 3,332,452,129 and 7,166,427,097

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Solution

The third proportional to 3,332,452,129 and 7,166,427,097 is: 15,411,377,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332,452,129 : 7,166,427,097 = 7,166,427,097 : x
  2. Step 2: Convert to fraction form
    3,332,452,129/7,166,427,097 = 7,166,427,097/x
  3. Step 3: Cross multiply
    3,332,452,129x = 7,166,427,097 × 7,166,427,097
  4. Step 4: Simplify right side
    3,332,452,129x = 51,357,677,336,615,845,888
  5. Step 5: Solve for x
    x = 51,357,677,336,615,845,888/3,332,452,129
  6. Step 6: Final answer
    x = 15,411,377,372.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.