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Finding the Third Proportional to 52,849,492.88 and 80,853,822.84

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Solution

The third proportional to 52,849,492.88 and 80,853,822.84 is: 123,697,320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,849,492.88 : 80,853,822.84 = 80,853,822.84 : x
  2. Step 2: Convert to fraction form
    52,849,492.88/80,853,822.84 = 80,853,822.84/x
  3. Step 3: Cross multiply
    52,849,492.88x = 80,853,822.84 × 80,853,822.84
  4. Step 4: Simplify right side
    52,849,492.88x = 6,537,340,668,448,509
  5. Step 5: Solve for x
    x = 6,537,340,668,448,509/52,849,492.88
  6. Step 6: Final answer
    x = 123,697,320.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.