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Finding the Third Proportional to 10,526,570 and 21,880,532

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Solution

The third proportional to 10,526,570 and 21,880,532 is: 45,480,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526,570 : 21,880,532 = 21,880,532 : x
  2. Step 2: Convert to fraction form
    10,526,570/21,880,532 = 21,880,532/x
  3. Step 3: Cross multiply
    10,526,570x = 21,880,532 × 21,880,532
  4. Step 4: Simplify right side
    10,526,570x = 478,757,680,603,024
  5. Step 5: Solve for x
    x = 478,757,680,603,024/10,526,570
  6. Step 6: Final answer
    x = 45,480,881.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.