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Finding the Third Proportional to 429,762,850 and 920,796,326

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Solution

The third proportional to 429,762,850 and 920,796,326 is: 1,972,869,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,762,850 : 920,796,326 = 920,796,326 : x
  2. Step 2: Convert to fraction form
    429,762,850/920,796,326 = 920,796,326/x
  3. Step 3: Cross multiply
    429,762,850x = 920,796,326 × 920,796,326
  4. Step 4: Simplify right side
    429,762,850x = 847,865,873,975,098,240
  5. Step 5: Solve for x
    x = 847,865,873,975,098,240/429,762,850
  6. Step 6: Final answer
    x = 1,972,869,162.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.