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Finding the Third Proportional to 9,846,968 and 14,450,952

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Solution

The third proportional to 9,846,968 and 14,450,952 is: 21,207,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846,968 : 14,450,952 = 14,450,952 : x
  2. Step 2: Convert to fraction form
    9,846,968/14,450,952 = 14,450,952/x
  3. Step 3: Cross multiply
    9,846,968x = 14,450,952 × 14,450,952
  4. Step 4: Simplify right side
    9,846,968x = 208,830,013,706,304
  5. Step 5: Solve for x
    x = 208,830,013,706,304/9,846,968
  6. Step 6: Final answer
    x = 21,207,544.67

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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.