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Finding the Third Proportional to 4,636,470 and 7,092,384.75

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Solution

The third proportional to 4,636,470 and 7,092,384.75 is: 10,849,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636,470 : 7,092,384.75 = 7,092,384.75 : x
  2. Step 2: Convert to fraction form
    4,636,470/7,092,384.75 = 7,092,384.75/x
  3. Step 3: Cross multiply
    4,636,470x = 7,092,384.75 × 7,092,384.75
  4. Step 4: Simplify right side
    4,636,470x = 50,301,921,442,032.56
  5. Step 5: Solve for x
    x = 50,301,921,442,032.56/4,636,470
  6. Step 6: Final answer
    x = 10,849,185.14

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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.