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Finding the Third Proportional to 292,566,640 and 429,151,027.50

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Solution

The third proportional to 292,566,640 and 429,151,027.50 is: 629,499,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,566,640 : 429,151,027.50 = 429,151,027.50 : x
  2. Step 2: Convert to fraction form
    292,566,640/429,151,027.50 = 429,151,027.50/x
  3. Step 3: Cross multiply
    292,566,640x = 429,151,027.50 × 429,151,027.50
  4. Step 4: Simplify right side
    292,566,640x = 184,170,604,404,305,760
  5. Step 5: Solve for x
    x = 184,170,604,404,305,760/292,566,640
  6. Step 6: Final answer
    x = 629,499,673.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.