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Finding the Third Proportional to 1,615,310,168 and 3,513,638,064

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Solution

The third proportional to 1,615,310,168 and 3,513,638,064 is: 7,642,898,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,310,168 : 3,513,638,064 = 3,513,638,064 : x
  2. Step 2: Convert to fraction form
    1,615,310,168/3,513,638,064 = 3,513,638,064/x
  3. Step 3: Cross multiply
    1,615,310,168x = 3,513,638,064 × 3,513,638,064
  4. Step 4: Simplify right side
    1,615,310,168x = 12,345,652,444,789,667,840
  5. Step 5: Solve for x
    x = 12,345,652,444,789,667,840/1,615,310,168
  6. Step 6: Final answer
    x = 7,642,898,985.82

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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.