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Finding the Third Proportional to 10,574,141,216 and 15,997,432,330

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Solution

The third proportional to 10,574,141,216 and 15,997,432,330 is: 24,202,234,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574,141,216 : 15,997,432,330 = 15,997,432,330 : x
  2. Step 2: Convert to fraction form
    10,574,141,216/15,997,432,330 = 15,997,432,330/x
  3. Step 3: Cross multiply
    10,574,141,216x = 15,997,432,330 × 15,997,432,330
  4. Step 4: Simplify right side
    10,574,141,216x = 255,917,841,152,929,234,944
  5. Step 5: Solve for x
    x = 255,917,841,152,929,234,944/10,574,141,216
  6. Step 6: Final answer
    x = 24,202,234,103.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.