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Finding the Third Proportional to 21,931,097 and 47,523,214

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Solution

The third proportional to 21,931,097 and 47,523,214 is: 102,979,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,931,097 : 47,523,214 = 47,523,214 : x
  2. Step 2: Convert to fraction form
    21,931,097/47,523,214 = 47,523,214/x
  3. Step 3: Cross multiply
    21,931,097x = 47,523,214 × 47,523,214
  4. Step 4: Simplify right side
    21,931,097x = 2,258,455,868,889,796
  5. Step 5: Solve for x
    x = 2,258,455,868,889,796/21,931,097
  6. Step 6: Final answer
    x = 102,979,612.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.