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Finding the Third Proportional to 12,980,420 and 27,698,206

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Solution

The third proportional to 12,980,420 and 27,698,206 is: 59,103,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980,420 : 27,698,206 = 27,698,206 : x
  2. Step 2: Convert to fraction form
    12,980,420/27,698,206 = 27,698,206/x
  3. Step 3: Cross multiply
    12,980,420x = 27,698,206 × 27,698,206
  4. Step 4: Simplify right side
    12,980,420x = 767,190,615,618,436
  5. Step 5: Solve for x
    x = 767,190,615,618,436/12,980,420
  6. Step 6: Final answer
    x = 59,103,681.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.