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Finding the Third Proportional to 697,359,560 and 1,530,751,072

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Solution

The third proportional to 697,359,560 and 1,530,751,072 is: 3,360,101,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,359,560 : 1,530,751,072 = 1,530,751,072 : x
  2. Step 2: Convert to fraction form
    697,359,560/1,530,751,072 = 1,530,751,072/x
  3. Step 3: Cross multiply
    697,359,560x = 1,530,751,072 × 1,530,751,072
  4. Step 4: Simplify right side
    697,359,560x = 2,343,198,844,429,149,184
  5. Step 5: Solve for x
    x = 2,343,198,844,429,149,184/697,359,560
  6. Step 6: Final answer
    x = 3,360,101,415.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.