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Finding the Third Proportional to 7,016,357,459 and 15,601,461,910

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Solution

The third proportional to 7,016,357,459 and 15,601,461,910 is: 34,691,164,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016,357,459 : 15,601,461,910 = 15,601,461,910 : x
  2. Step 2: Convert to fraction form
    7,016,357,459/15,601,461,910 = 15,601,461,910/x
  3. Step 3: Cross multiply
    7,016,357,459x = 15,601,461,910 × 15,601,461,910
  4. Step 4: Simplify right side
    7,016,357,459x = 243,405,613,729,180,844,032
  5. Step 5: Solve for x
    x = 243,405,613,729,180,844,032/7,016,357,459
  6. Step 6: Final answer
    x = 34,691,164,917.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.