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Finding the Third Proportional to 21,257,029,669.50 and 45,668,670,969

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Solution

The third proportional to 21,257,029,669.50 and 45,668,670,969 is: 98,114,719,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257,029,669.50 : 45,668,670,969 = 45,668,670,969 : x
  2. Step 2: Convert to fraction form
    21,257,029,669.50/45,668,670,969 = 45,668,670,969/x
  3. Step 3: Cross multiply
    21,257,029,669.50x = 45,668,670,969 × 45,668,670,969
  4. Step 4: Simplify right side
    21,257,029,669.50x = 2,085,627,508,074,783,440,896
  5. Step 5: Solve for x
    x = 2,085,627,508,074,783,440,896/21,257,029,669.50
  6. Step 6: Final answer
    x = 98,114,719,718.69

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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.