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Finding the Third Proportional to 21,694,527 and 31,765,486.50

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Solution

The third proportional to 21,694,527 and 31,765,486.50 is: 46,511,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694,527 : 31,765,486.50 = 31,765,486.50 : x
  2. Step 2: Convert to fraction form
    21,694,527/31,765,486.50 = 31,765,486.50/x
  3. Step 3: Cross multiply
    21,694,527x = 31,765,486.50 × 31,765,486.50
  4. Step 4: Simplify right side
    21,694,527x = 1,009,046,132,581,682.25
  5. Step 5: Solve for x
    x = 1,009,046,132,581,682.25/21,694,527
  6. Step 6: Final answer
    x = 46,511,552.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.