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Finding the Third Proportional to 13,020,346 and 27,516,914

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Solution

The third proportional to 13,020,346 and 27,516,914 is: 58,153,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020,346 : 27,516,914 = 27,516,914 : x
  2. Step 2: Convert to fraction form
    13,020,346/27,516,914 = 27,516,914/x
  3. Step 3: Cross multiply
    13,020,346x = 27,516,914 × 27,516,914
  4. Step 4: Simplify right side
    13,020,346x = 757,180,556,083,396
  5. Step 5: Solve for x
    x = 757,180,556,083,396/13,020,346
  6. Step 6: Final answer
    x = 58,153,643.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.