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Finding the Third Proportional to 13,223,840 and 31,114,897

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Solution

The third proportional to 13,223,840 and 31,114,897 is: 73,211,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223,840 : 31,114,897 = 31,114,897 : x
  2. Step 2: Convert to fraction form
    13,223,840/31,114,897 = 31,114,897/x
  3. Step 3: Cross multiply
    13,223,840x = 31,114,897 × 31,114,897
  4. Step 4: Simplify right side
    13,223,840x = 968,136,815,320,609
  5. Step 5: Solve for x
    x = 968,136,815,320,609/13,223,840
  6. Step 6: Final answer
    x = 73,211,473.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.