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Finding the Third Proportional to 429,142,873.50 and 926,890,830

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Solution

The third proportional to 429,142,873.50 and 926,890,830 is: 2,001,959,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,142,873.50 : 926,890,830 = 926,890,830 : x
  2. Step 2: Convert to fraction form
    429,142,873.50/926,890,830 = 926,890,830/x
  3. Step 3: Cross multiply
    429,142,873.50x = 926,890,830 × 926,890,830
  4. Step 4: Simplify right side
    429,142,873.50x = 859,126,610,738,088,960
  5. Step 5: Solve for x
    x = 859,126,610,738,088,960/429,142,873.50
  6. Step 6: Final answer
    x = 2,001,959,402.78

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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.