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Finding the Third Proportional to 14,292,138 and 31,153,758

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Solution

The third proportional to 14,292,138 and 31,153,758 is: 67,908,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292,138 : 31,153,758 = 31,153,758 : x
  2. Step 2: Convert to fraction form
    14,292,138/31,153,758 = 31,153,758/x
  3. Step 3: Cross multiply
    14,292,138x = 31,153,758 × 31,153,758
  4. Step 4: Simplify right side
    14,292,138x = 970,556,637,522,564
  5. Step 5: Solve for x
    x = 970,556,637,522,564/14,292,138
  6. Step 6: Final answer
    x = 67,908,428.92

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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.