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Finding the Third Proportional to 2,587,425,228 and 5,628,194,712

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Solution

The third proportional to 2,587,425,228 and 5,628,194,712 is: 12,242,508,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,425,228 : 5,628,194,712 = 5,628,194,712 : x
  2. Step 2: Convert to fraction form
    2,587,425,228/5,628,194,712 = 5,628,194,712/x
  3. Step 3: Cross multiply
    2,587,425,228x = 5,628,194,712 × 5,628,194,712
  4. Step 4: Simplify right side
    2,587,425,228x = 31,676,575,716,184,764,416
  5. Step 5: Solve for x
    x = 31,676,575,716,184,764,416/2,587,425,228
  6. Step 6: Final answer
    x = 12,242,508,642.72

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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.