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Finding the Third Proportional to 346,823,487 and 501,100,043

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Solution

The third proportional to 346,823,487 and 501,100,043 is: 724,003,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,823,487 : 501,100,043 = 501,100,043 : x
  2. Step 2: Convert to fraction form
    346,823,487/501,100,043 = 501,100,043/x
  3. Step 3: Cross multiply
    346,823,487x = 501,100,043 × 501,100,043
  4. Step 4: Simplify right side
    346,823,487x = 251,101,253,094,601,856
  5. Step 5: Solve for x
    x = 251,101,253,094,601,856/346,823,487
  6. Step 6: Final answer
    x = 724,003,023.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.