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Finding the Third Proportional to 49,298,886 and 72,122,913

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Solution

The third proportional to 49,298,886 and 72,122,913 is: 105,513,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,298,886 : 72,122,913 = 72,122,913 : x
  2. Step 2: Convert to fraction form
    49,298,886/72,122,913 = 72,122,913/x
  3. Step 3: Cross multiply
    49,298,886x = 72,122,913 × 72,122,913
  4. Step 4: Simplify right side
    49,298,886x = 5,201,714,579,605,569
  5. Step 5: Solve for x
    x = 5,201,714,579,605,569/49,298,886
  6. Step 6: Final answer
    x = 105,513,836.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.