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Finding the Third Proportional to 29,948,820 and 46,005,051

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Solution

The third proportional to 29,948,820 and 46,005,051 is: 70,669,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,948,820 : 46,005,051 = 46,005,051 : x
  2. Step 2: Convert to fraction form
    29,948,820/46,005,051 = 46,005,051/x
  3. Step 3: Cross multiply
    29,948,820x = 46,005,051 × 46,005,051
  4. Step 4: Simplify right side
    29,948,820x = 2,116,464,717,512,601
  5. Step 5: Solve for x
    x = 2,116,464,717,512,601/29,948,820
  6. Step 6: Final answer
    x = 70,669,385.89

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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.