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Finding the Third Proportional to 72,048,696 and 106,167,956

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Solution

The third proportional to 72,048,696 and 106,167,956 is: 156,444,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,048,696 : 106,167,956 = 106,167,956 : x
  2. Step 2: Convert to fraction form
    72,048,696/106,167,956 = 106,167,956/x
  3. Step 3: Cross multiply
    72,048,696x = 106,167,956 × 106,167,956
  4. Step 4: Simplify right side
    72,048,696x = 11,271,634,881,217,936
  5. Step 5: Solve for x
    x = 11,271,634,881,217,936/72,048,696
  6. Step 6: Final answer
    x = 156,444,675.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.