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Finding the Third Proportional to 9,077,968 and 19,590,532

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Solution

The third proportional to 9,077,968 and 19,590,532 is: 42,276,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077,968 : 19,590,532 = 19,590,532 : x
  2. Step 2: Convert to fraction form
    9,077,968/19,590,532 = 19,590,532/x
  3. Step 3: Cross multiply
    9,077,968x = 19,590,532 × 19,590,532
  4. Step 4: Simplify right side
    9,077,968x = 383,788,944,043,024
  5. Step 5: Solve for x
    x = 383,788,944,043,024/9,077,968
  6. Step 6: Final answer
    x = 42,276,965.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.