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Finding the Third Proportional to 296,663,835 and 436,422,165

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Solution

The third proportional to 296,663,835 and 436,422,165 is: 642,020,643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,663,835 : 436,422,165 = 436,422,165 : x
  2. Step 2: Convert to fraction form
    296,663,835/436,422,165 = 436,422,165/x
  3. Step 3: Cross multiply
    296,663,835x = 436,422,165 × 436,422,165
  4. Step 4: Simplify right side
    296,663,835x = 190,464,306,103,287,232
  5. Step 5: Solve for x
    x = 190,464,306,103,287,232/296,663,835
  6. Step 6: Final answer
    x = 642,020,643.01

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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.