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Finding the Third Proportional to 383,320,805.63 and 833,803,006.78

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Solution

The third proportional to 383,320,805.63 and 833,803,006.78 is: 1,813,696,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,320,805.63 : 833,803,006.78 = 833,803,006.78 : x
  2. Step 2: Convert to fraction form
    383,320,805.63/833,803,006.78 = 833,803,006.78/x
  3. Step 3: Cross multiply
    383,320,805.63x = 833,803,006.78 × 833,803,006.78
  4. Step 4: Simplify right side
    383,320,805.63x = 695,227,454,117,453,184
  5. Step 5: Solve for x
    x = 695,227,454,117,453,184/383,320,805.63
  6. Step 6: Final answer
    x = 1,813,696,110.19

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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.