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Finding the Third Proportional to 452,791,872,833 and 969,190,243,711

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Solution

The third proportional to 452,791,872,833 and 969,190,243,711 is: 2,074,528,684,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,791,872,833 : 969,190,243,711 = 969,190,243,711 : x
  2. Step 2: Convert to fraction form
    452,791,872,833/969,190,243,711 = 969,190,243,711/x
  3. Step 3: Cross multiply
    452,791,872,833x = 969,190,243,711 × 969,190,243,711
  4. Step 4: Simplify right side
    452,791,872,833x = 939,329,728,504,587,641,421,824
  5. Step 5: Solve for x
    x = 939,329,728,504,587,641,421,824/452,791,872,833
  6. Step 6: Final answer
    x = 2,074,528,684,950.65

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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.