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Finding the Third Proportional to 970,831,216 and 2,139,548,753

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Solution

The third proportional to 970,831,216 and 2,139,548,753 is: 4,715,205,682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,831,216 : 2,139,548,753 = 2,139,548,753 : x
  2. Step 2: Convert to fraction form
    970,831,216/2,139,548,753 = 2,139,548,753/x
  3. Step 3: Cross multiply
    970,831,216x = 2,139,548,753 × 2,139,548,753
  4. Step 4: Simplify right side
    970,831,216x = 4,577,668,866,463,855,104
  5. Step 5: Solve for x
    x = 4,577,668,866,463,855,104/970,831,216
  6. Step 6: Final answer
    x = 4,715,205,682.53

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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.