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Finding the Third Proportional to 7,447,946 and 11,388,507

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Solution

The third proportional to 7,447,946 and 11,388,507 is: 17,413,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,946 : 11,388,507 = 11,388,507 : x
  2. Step 2: Convert to fraction form
    7,447,946/11,388,507 = 11,388,507/x
  3. Step 3: Cross multiply
    7,447,946x = 11,388,507 × 11,388,507
  4. Step 4: Simplify right side
    7,447,946x = 129,698,091,689,049
  5. Step 5: Solve for x
    x = 129,698,091,689,049/7,447,946
  6. Step 6: Final answer
    x = 17,413,940.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.