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Finding the Third Proportional to 7,773,942 and 12,167,262

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Solution

The third proportional to 7,773,942 and 12,167,262 is: 19,043,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773,942 : 12,167,262 = 12,167,262 : x
  2. Step 2: Convert to fraction form
    7,773,942/12,167,262 = 12,167,262/x
  3. Step 3: Cross multiply
    7,773,942x = 12,167,262 × 12,167,262
  4. Step 4: Simplify right side
    7,773,942x = 148,042,264,576,644
  5. Step 5: Solve for x
    x = 148,042,264,576,644/7,773,942
  6. Step 6: Final answer
    x = 19,043,397.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.