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Finding the Third Proportional to 269,915,459,080 and 562,171,661,808

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Solution

The third proportional to 269,915,459,080 and 562,171,661,808 is: 1,170,873,941,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,915,459,080 : 562,171,661,808 = 562,171,661,808 : x
  2. Step 2: Convert to fraction form
    269,915,459,080/562,171,661,808 = 562,171,661,808/x
  3. Step 3: Cross multiply
    269,915,459,080x = 562,171,661,808 × 562,171,661,808
  4. Step 4: Simplify right side
    269,915,459,080x = 316,036,977,339,968,318,865,408
  5. Step 5: Solve for x
    x = 316,036,977,339,968,318,865,408/269,915,459,080
  6. Step 6: Final answer
    x = 1,170,873,941,111.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.