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Finding the Third Proportional to 409,491,854,699 and 890,257,955,556

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Solution

The third proportional to 409,491,854,699 and 890,257,955,556 is: 1,935,470,066,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,491,854,699 : 890,257,955,556 = 890,257,955,556 : x
  2. Step 2: Convert to fraction form
    409,491,854,699/890,257,955,556 = 890,257,955,556/x
  3. Step 3: Cross multiply
    409,491,854,699x = 890,257,955,556 × 890,257,955,556
  4. Step 4: Simplify right side
    409,491,854,699x = 792,559,227,430,748,874,080,256
  5. Step 5: Solve for x
    x = 792,559,227,430,748,874,080,256/409,491,854,699
  6. Step 6: Final answer
    x = 1,935,470,066,952.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.