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Finding the Third Proportional to 10,574,141,215 and 15,997,432,329

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Solution

The third proportional to 10,574,141,215 and 15,997,432,329 is: 24,202,234,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574,141,215 : 15,997,432,329 = 15,997,432,329 : x
  2. Step 2: Convert to fraction form
    10,574,141,215/15,997,432,329 = 15,997,432,329/x
  3. Step 3: Cross multiply
    10,574,141,215x = 15,997,432,329 × 15,997,432,329
  4. Step 4: Simplify right side
    10,574,141,215x = 255,917,841,120,934,363,136
  5. Step 5: Solve for x
    x = 255,917,841,120,934,363,136/10,574,141,215
  6. Step 6: Final answer
    x = 24,202,234,102.75

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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.