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Finding the Third Proportional to 2,871,656,613 and 6,246,457,362

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Solution

The third proportional to 2,871,656,613 and 6,246,457,362 is: 13,587,359,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871,656,613 : 6,246,457,362 = 6,246,457,362 : x
  2. Step 2: Convert to fraction form
    2,871,656,613/6,246,457,362 = 6,246,457,362/x
  3. Step 3: Cross multiply
    2,871,656,613x = 6,246,457,362 × 6,246,457,362
  4. Step 4: Simplify right side
    2,871,656,613x = 39,018,229,575,283,998,720
  5. Step 5: Solve for x
    x = 39,018,229,575,283,998,720/2,871,656,613
  6. Step 6: Final answer
    x = 13,587,359,086.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.