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Finding the Third Proportional to 429,143,000 and 926,891,072

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Solution

The third proportional to 429,143,000 and 926,891,072 is: 2,001,959,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,143,000 : 926,891,072 = 926,891,072 : x
  2. Step 2: Convert to fraction form
    429,143,000/926,891,072 = 926,891,072/x
  3. Step 3: Cross multiply
    429,143,000x = 926,891,072 × 926,891,072
  4. Step 4: Simplify right side
    429,143,000x = 859,127,059,353,309,184
  5. Step 5: Solve for x
    x = 859,127,059,353,309,184/429,143,000
  6. Step 6: Final answer
    x = 2,001,959,858.03

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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.