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Finding the Third Proportional to 263,486,904.75 and 585,885,720.66

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Solution

The third proportional to 263,486,904.75 and 585,885,720.66 is: 1,302,767,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,486,904.75 : 585,885,720.66 = 585,885,720.66 : x
  2. Step 2: Convert to fraction form
    263,486,904.75/585,885,720.66 = 585,885,720.66/x
  3. Step 3: Cross multiply
    263,486,904.75x = 585,885,720.66 × 585,885,720.66
  4. Step 4: Simplify right side
    263,486,904.75x = 343,262,077,668,893,376
  5. Step 5: Solve for x
    x = 343,262,077,668,893,376/263,486,904.75
  6. Step 6: Final answer
    x = 1,302,767,126.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.