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Finding the Third Proportional to 49,974,402 and 111,433,014

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Solution

The third proportional to 49,974,402 and 111,433,014 is: 248,473,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,974,402 : 111,433,014 = 111,433,014 : x
  2. Step 2: Convert to fraction form
    49,974,402/111,433,014 = 111,433,014/x
  3. Step 3: Cross multiply
    49,974,402x = 111,433,014 × 111,433,014
  4. Step 4: Simplify right side
    49,974,402x = 12,417,316,609,124,196
  5. Step 5: Solve for x
    x = 12,417,316,609,124,196/49,974,402
  6. Step 6: Final answer
    x = 248,473,540.70

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.