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Finding the Third Proportional to 536,825,370,994 and 833,523,728,880

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Solution

The third proportional to 536,825,370,994 and 833,523,728,880 is: 1,294,204,492,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,825,370,994 : 833,523,728,880 = 833,523,728,880 : x
  2. Step 2: Convert to fraction form
    536,825,370,994/833,523,728,880 = 833,523,728,880/x
  3. Step 3: Cross multiply
    536,825,370,994x = 833,523,728,880 × 833,523,728,880
  4. Step 4: Simplify right side
    536,825,370,994x = 694,761,806,606,019,768,352,768
  5. Step 5: Solve for x
    x = 694,761,806,606,019,768,352,768/536,825,370,994
  6. Step 6: Final answer
    x = 1,294,204,492,085.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.