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Finding the Third Proportional to 3,197,655,712 and 7,130,555,712

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Solution

The third proportional to 3,197,655,712 and 7,130,555,712 is: 15,900,656,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,655,712 : 7,130,555,712 = 7,130,555,712 : x
  2. Step 2: Convert to fraction form
    3,197,655,712/7,130,555,712 = 7,130,555,712/x
  3. Step 3: Cross multiply
    3,197,655,712x = 7,130,555,712 × 7,130,555,712
  4. Step 4: Simplify right side
    3,197,655,712x = 50,844,824,761,935,822,848
  5. Step 5: Solve for x
    x = 50,844,824,761,935,822,848/3,197,655,712
  6. Step 6: Final answer
    x = 15,900,656,399.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.