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Finding the Third Proportional to 9,774,072 and 12,852,883

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Solution

The third proportional to 9,774,072 and 12,852,883 is: 16,901,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774,072 : 12,852,883 = 12,852,883 : x
  2. Step 2: Convert to fraction form
    9,774,072/12,852,883 = 12,852,883/x
  3. Step 3: Cross multiply
    9,774,072x = 12,852,883 × 12,852,883
  4. Step 4: Simplify right side
    9,774,072x = 165,196,601,411,689
  5. Step 5: Solve for x
    x = 165,196,601,411,689/9,774,072
  6. Step 6: Final answer
    x = 16,901,512.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.