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Finding the Third Proportional to 9,459,267,894 and 13,303,827,396

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Solution

The third proportional to 9,459,267,894 and 13,303,827,396 is: 18,710,943,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459,267,894 : 13,303,827,396 = 13,303,827,396 : x
  2. Step 2: Convert to fraction form
    9,459,267,894/13,303,827,396 = 13,303,827,396/x
  3. Step 3: Cross multiply
    9,459,267,894x = 13,303,827,396 × 13,303,827,396
  4. Step 4: Simplify right side
    9,459,267,894x = 176,991,823,382,560,145,408
  5. Step 5: Solve for x
    x = 176,991,823,382,560,145,408/9,459,267,894
  6. Step 6: Final answer
    x = 18,710,943,105.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.