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Finding the Third Proportional to 787,155,237 and 1,822,312,622

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Solution

The third proportional to 787,155,237 and 1,822,312,622 is: 4,218,765,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,155,237 : 1,822,312,622 = 1,822,312,622 : x
  2. Step 2: Convert to fraction form
    787,155,237/1,822,312,622 = 1,822,312,622/x
  3. Step 3: Cross multiply
    787,155,237x = 1,822,312,622 × 1,822,312,622
  4. Step 4: Simplify right side
    787,155,237x = 3,320,823,292,300,514,816
  5. Step 5: Solve for x
    x = 3,320,823,292,300,514,816/787,155,237
  6. Step 6: Final answer
    x = 4,218,765,417.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.