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Finding the Third Proportional to 12,980,430 and 27,698,226

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Solution

The third proportional to 12,980,430 and 27,698,226 is: 59,103,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980,430 : 27,698,226 = 27,698,226 : x
  2. Step 2: Convert to fraction form
    12,980,430/27,698,226 = 27,698,226/x
  3. Step 3: Cross multiply
    12,980,430x = 27,698,226 × 27,698,226
  4. Step 4: Simplify right side
    12,980,430x = 767,191,723,547,076
  5. Step 5: Solve for x
    x = 767,191,723,547,076/12,980,430
  6. Step 6: Final answer
    x = 59,103,721.80

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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.