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Finding the Third Proportional to 7,016,357,460 and 15,601,461,912

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Solution

The third proportional to 7,016,357,460 and 15,601,461,912 is: 34,691,164,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016,357,460 : 15,601,461,912 = 15,601,461,912 : x
  2. Step 2: Convert to fraction form
    7,016,357,460/15,601,461,912 = 15,601,461,912/x
  3. Step 3: Cross multiply
    7,016,357,460x = 15,601,461,912 × 15,601,461,912
  4. Step 4: Simplify right side
    7,016,357,460x = 243,405,613,791,586,680,832
  5. Step 5: Solve for x
    x = 243,405,613,791,586,680,832/7,016,357,460
  6. Step 6: Final answer
    x = 34,691,164,921.29

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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.