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Finding the Third Proportional to 30,290,238 and 46,991,046

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Solution

The third proportional to 30,290,238 and 46,991,046 is: 72,900,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290,238 : 46,991,046 = 46,991,046 : x
  2. Step 2: Convert to fraction form
    30,290,238/46,991,046 = 46,991,046/x
  3. Step 3: Cross multiply
    30,290,238x = 46,991,046 × 46,991,046
  4. Step 4: Simplify right side
    30,290,238x = 2,208,158,404,174,116
  5. Step 5: Solve for x
    x = 2,208,158,404,174,116/30,290,238
  6. Step 6: Final answer
    x = 72,900,001.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.