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Finding the Third Proportional to 950,962,172 and 2,070,748,188

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Solution

The third proportional to 950,962,172 and 2,070,748,188 is: 4,509,115,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,962,172 : 2,070,748,188 = 2,070,748,188 : x
  2. Step 2: Convert to fraction form
    950,962,172/2,070,748,188 = 2,070,748,188/x
  3. Step 3: Cross multiply
    950,962,172x = 2,070,748,188 × 2,070,748,188
  4. Step 4: Simplify right side
    950,962,172x = 4,287,998,058,105,283,584
  5. Step 5: Solve for x
    x = 4,287,998,058,105,283,584/950,962,172
  6. Step 6: Final answer
    x = 4,509,115,277.52

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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.