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Finding the Third Proportional to 5,013,946 and 7,638,423

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Solution

The third proportional to 5,013,946 and 7,638,423 is: 11,636,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013,946 : 7,638,423 = 7,638,423 : x
  2. Step 2: Convert to fraction form
    5,013,946/7,638,423 = 7,638,423/x
  3. Step 3: Cross multiply
    5,013,946x = 7,638,423 × 7,638,423
  4. Step 4: Simplify right side
    5,013,946x = 58,345,505,926,929
  5. Step 5: Solve for x
    x = 58,345,505,926,929/5,013,946
  6. Step 6: Final answer
    x = 11,636,644.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.