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Finding the Third Proportional to 21,257,029,670 and 45,668,670,964

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Solution

The third proportional to 21,257,029,670 and 45,668,670,964 is: 98,114,719,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257,029,670 : 45,668,670,964 = 45,668,670,964 : x
  2. Step 2: Convert to fraction form
    21,257,029,670/45,668,670,964 = 45,668,670,964/x
  3. Step 3: Cross multiply
    21,257,029,670x = 45,668,670,964 × 45,668,670,964
  4. Step 4: Simplify right side
    21,257,029,670x = 2,085,627,507,618,096,611,328
  5. Step 5: Solve for x
    x = 2,085,627,507,618,096,611,328/21,257,029,670
  6. Step 6: Final answer
    x = 98,114,719,694.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.