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Finding the Third Proportional to 239,995,026,846 and 346,751,369,506

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Solution

The third proportional to 239,995,026,846 and 346,751,369,506 is: 500,995,849,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,995,026,846 : 346,751,369,506 = 346,751,369,506 : x
  2. Step 2: Convert to fraction form
    239,995,026,846/346,751,369,506 = 346,751,369,506/x
  3. Step 3: Cross multiply
    239,995,026,846x = 346,751,369,506 × 346,751,369,506
  4. Step 4: Simplify right side
    239,995,026,846x = 120,236,512,254,286,538,735,616
  5. Step 5: Solve for x
    x = 120,236,512,254,286,538,735,616/239,995,026,846
  6. Step 6: Final answer
    x = 500,995,849,099.16

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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.