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Finding the Third Proportional to 10,263,905 and 14,349,543

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Solution

The third proportional to 10,263,905 and 14,349,543 is: 20,061,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263,905 : 14,349,543 = 14,349,543 : x
  2. Step 2: Convert to fraction form
    10,263,905/14,349,543 = 14,349,543/x
  3. Step 3: Cross multiply
    10,263,905x = 14,349,543 × 14,349,543
  4. Step 4: Simplify right side
    10,263,905x = 205,909,384,308,849
  5. Step 5: Solve for x
    x = 205,909,384,308,849/10,263,905
  6. Step 6: Final answer
    x = 20,061,505.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.