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Finding the Third Proportional to 463,782,996 and 1,010,898,711

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Solution

The third proportional to 463,782,996 and 1,010,898,711 is: 2,203,436,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,782,996 : 1,010,898,711 = 1,010,898,711 : x
  2. Step 2: Convert to fraction form
    463,782,996/1,010,898,711 = 1,010,898,711/x
  3. Step 3: Cross multiply
    463,782,996x = 1,010,898,711 × 1,010,898,711
  4. Step 4: Simplify right side
    463,782,996x = 1,021,916,203,901,461,504
  5. Step 5: Solve for x
    x = 1,021,916,203,901,461,504/463,782,996
  6. Step 6: Final answer
    x = 2,203,436,117.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.