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Finding the Third Proportional to 1,666,859,024 and 2,452,104,216

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Solution

The third proportional to 1,666,859,024 and 2,452,104,216 is: 3,607,272,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,859,024 : 2,452,104,216 = 2,452,104,216 : x
  2. Step 2: Convert to fraction form
    1,666,859,024/2,452,104,216 = 2,452,104,216/x
  3. Step 3: Cross multiply
    1,666,859,024x = 2,452,104,216 × 2,452,104,216
  4. Step 4: Simplify right side
    1,666,859,024x = 6,012,815,086,124,975,104
  5. Step 5: Solve for x
    x = 6,012,815,086,124,975,104/1,666,859,024
  6. Step 6: Final answer
    x = 3,607,272,720.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.