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Finding the Third Proportional to 635,537,812 and 1,368,462,122

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Solution

The third proportional to 635,537,812 and 1,368,462,122 is: 2,946,620,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,537,812 : 1,368,462,122 = 1,368,462,122 : x
  2. Step 2: Convert to fraction form
    635,537,812/1,368,462,122 = 1,368,462,122/x
  3. Step 3: Cross multiply
    635,537,812x = 1,368,462,122 × 1,368,462,122
  4. Step 4: Simplify right side
    635,537,812x = 1,872,688,579,348,742,912
  5. Step 5: Solve for x
    x = 1,872,688,579,348,742,912/635,537,812
  6. Step 6: Final answer
    x = 2,946,620,238.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.