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Finding the Third Proportional to 29,829,506 and 46,062,993

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Solution

The third proportional to 29,829,506 and 46,062,993 is: 71,130,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829,506 : 46,062,993 = 46,062,993 : x
  2. Step 2: Convert to fraction form
    29,829,506/46,062,993 = 46,062,993/x
  3. Step 3: Cross multiply
    29,829,506x = 46,062,993 × 46,062,993
  4. Step 4: Simplify right side
    29,829,506x = 2,121,799,324,118,049
  5. Step 5: Solve for x
    x = 2,121,799,324,118,049/29,829,506
  6. Step 6: Final answer
    x = 71,130,890.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.