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Finding the Third Proportional to 52,743,547.50 and 59,049,216

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Solution

The third proportional to 52,743,547.50 and 59,049,216 is: 66,108,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,743,547.50 : 59,049,216 = 59,049,216 : x
  2. Step 2: Convert to fraction form
    52,743,547.50/59,049,216 = 59,049,216/x
  3. Step 3: Cross multiply
    52,743,547.50x = 59,049,216 × 59,049,216
  4. Step 4: Simplify right side
    52,743,547.50x = 3,486,809,910,214,656
  5. Step 5: Solve for x
    x = 3,486,809,910,214,656/52,743,547.50
  6. Step 6: Final answer
    x = 66,108,748.38

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.