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Finding the Third Proportional to 14,253,010 and 31,119,543

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Solution

The third proportional to 14,253,010 and 31,119,543 is: 67,945,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253,010 : 31,119,543 = 31,119,543 : x
  2. Step 2: Convert to fraction form
    14,253,010/31,119,543 = 31,119,543/x
  3. Step 3: Cross multiply
    14,253,010x = 31,119,543 × 31,119,543
  4. Step 4: Simplify right side
    14,253,010x = 968,425,956,528,849
  5. Step 5: Solve for x
    x = 968,425,956,528,849/14,253,010
  6. Step 6: Final answer
    x = 67,945,364.28

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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.