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Finding the Third Proportional to 631,709,210 and 1,363,300,216

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Solution

The third proportional to 631,709,210 and 1,363,300,216 is: 2,942,156,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,709,210 : 1,363,300,216 = 1,363,300,216 : x
  2. Step 2: Convert to fraction form
    631,709,210/1,363,300,216 = 1,363,300,216/x
  3. Step 3: Cross multiply
    631,709,210x = 1,363,300,216 × 1,363,300,216
  4. Step 4: Simplify right side
    631,709,210x = 1,858,587,478,945,646,592
  5. Step 5: Solve for x
    x = 1,858,587,478,945,646,592/631,709,210
  6. Step 6: Final answer
    x = 2,942,156,690.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.