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Finding the Third Proportional to 29,841,798 and 47,452,914

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Solution

The third proportional to 29,841,798 and 47,452,914 is: 75,457,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841,798 : 47,452,914 = 47,452,914 : x
  2. Step 2: Convert to fraction form
    29,841,798/47,452,914 = 47,452,914/x
  3. Step 3: Cross multiply
    29,841,798x = 47,452,914 × 47,452,914
  4. Step 4: Simplify right side
    29,841,798x = 2,251,779,047,091,396
  5. Step 5: Solve for x
    x = 2,251,779,047,091,396/29,841,798
  6. Step 6: Final answer
    x = 75,457,217.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.