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Finding the Third Proportional to 693,827,712 and 1,508,583,168

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Solution

The third proportional to 693,827,712 and 1,508,583,168 is: 3,280,098,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,827,712 : 1,508,583,168 = 1,508,583,168 : x
  2. Step 2: Convert to fraction form
    693,827,712/1,508,583,168 = 1,508,583,168/x
  3. Step 3: Cross multiply
    693,827,712x = 1,508,583,168 × 1,508,583,168
  4. Step 4: Simplify right side
    693,827,712x = 2,275,823,174,772,916,224
  5. Step 5: Solve for x
    x = 2,275,823,174,772,916,224/693,827,712
  6. Step 6: Final answer
    x = 3,280,098,409.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.