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Finding the Third Proportional to 21,931,095 and 47,523,210

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Solution

The third proportional to 21,931,095 and 47,523,210 is: 102,979,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,931,095 : 47,523,210 = 47,523,210 : x
  2. Step 2: Convert to fraction form
    21,931,095/47,523,210 = 47,523,210/x
  3. Step 3: Cross multiply
    21,931,095x = 47,523,210 × 47,523,210
  4. Step 4: Simplify right side
    21,931,095x = 2,258,455,488,704,100
  5. Step 5: Solve for x
    x = 2,258,455,488,704,100/21,931,095
  6. Step 6: Final answer
    x = 102,979,604.47

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Why These Related Problems?

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