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Finding the Third Proportional to 10,855,867,417 and 23,634,037,687

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Solution

The third proportional to 10,855,867,417 and 23,634,037,687 is: 51,453,072,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855,867,417 : 23,634,037,687 = 23,634,037,687 : x
  2. Step 2: Convert to fraction form
    10,855,867,417/23,634,037,687 = 23,634,037,687/x
  3. Step 3: Cross multiply
    10,855,867,417x = 23,634,037,687 × 23,634,037,687
  4. Step 4: Simplify right side
    10,855,867,417x = 558,567,737,390,536,327,168
  5. Step 5: Solve for x
    x = 558,567,737,390,536,327,168/10,855,867,417
  6. Step 6: Final answer
    x = 51,453,072,880.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.