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Finding the Third Proportional to 7,692,056 and 16,812,952

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Solution

The third proportional to 7,692,056 and 16,812,952 is: 36,748,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,056 : 16,812,952 = 16,812,952 : x
  2. Step 2: Convert to fraction form
    7,692,056/16,812,952 = 16,812,952/x
  3. Step 3: Cross multiply
    7,692,056x = 16,812,952 × 16,812,952
  4. Step 4: Simplify right side
    7,692,056x = 282,675,354,954,304
  5. Step 5: Solve for x
    x = 282,675,354,954,304/7,692,056
  6. Step 6: Final answer
    x = 36,748,998.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.