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Finding the Third Proportional to 950,962,174 and 2,070,748,192

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Solution

The third proportional to 950,962,174 and 2,070,748,192 is: 4,509,115,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,962,174 : 2,070,748,192 = 2,070,748,192 : x
  2. Step 2: Convert to fraction form
    950,962,174/2,070,748,192 = 2,070,748,192/x
  3. Step 3: Cross multiply
    950,962,174x = 2,070,748,192 × 2,070,748,192
  4. Step 4: Simplify right side
    950,962,174x = 4,287,998,074,671,268,864
  5. Step 5: Solve for x
    x = 4,287,998,074,671,268,864/950,962,174
  6. Step 6: Final answer
    x = 4,509,115,285.45

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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.