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Finding the Third Proportional to 46,301,846 and 68,114,433

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Solution

The third proportional to 46,301,846 and 68,114,433 is: 100,202,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,301,846 : 68,114,433 = 68,114,433 : x
  2. Step 2: Convert to fraction form
    46,301,846/68,114,433 = 68,114,433/x
  3. Step 3: Cross multiply
    46,301,846x = 68,114,433 × 68,114,433
  4. Step 4: Simplify right side
    46,301,846x = 4,639,575,982,911,489
  5. Step 5: Solve for x
    x = 4,639,575,982,911,489/46,301,846
  6. Step 6: Final answer
    x = 100,202,829.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.