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Finding the Third Proportional to 210,037,117,430 and 451,930,242,180

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Solution

The third proportional to 210,037,117,430 and 451,930,242,180 is: 972,404,050,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,037,117,430 : 451,930,242,180 = 451,930,242,180 : x
  2. Step 2: Convert to fraction form
    210,037,117,430/451,930,242,180 = 451,930,242,180/x
  3. Step 3: Cross multiply
    210,037,117,430x = 451,930,242,180 × 451,930,242,180
  4. Step 4: Simplify right side
    210,037,117,430x = 204,240,943,796,873,460,711,424
  5. Step 5: Solve for x
    x = 204,240,943,796,873,460,711,424/210,037,117,430
  6. Step 6: Final answer
    x = 972,404,050,750.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.