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Finding the Third Proportional to 429,142,876.88 and 926,890,836.75

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Solution

The third proportional to 429,142,876.88 and 926,890,836.75 is: 2,001,959,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,142,876.88 : 926,890,836.75 = 926,890,836.75 : x
  2. Step 2: Convert to fraction form
    429,142,876.88/926,890,836.75 = 926,890,836.75/x
  3. Step 3: Cross multiply
    429,142,876.88x = 926,890,836.75 × 926,890,836.75
  4. Step 4: Simplify right side
    429,142,876.88x = 859,126,623,251,115,136
  5. Step 5: Solve for x
    x = 859,126,623,251,115,136/429,142,876.88
  6. Step 6: Final answer
    x = 2,001,959,416.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.