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Finding the Third Proportional to 4,867,436 and 7,566,646

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Solution

The third proportional to 4,867,436 and 7,566,646 is: 11,762,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867,436 : 7,566,646 = 7,566,646 : x
  2. Step 2: Convert to fraction form
    4,867,436/7,566,646 = 7,566,646/x
  3. Step 3: Cross multiply
    4,867,436x = 7,566,646 × 7,566,646
  4. Step 4: Simplify right side
    4,867,436x = 57,254,131,689,316
  5. Step 5: Solve for x
    x = 57,254,131,689,316/4,867,436
  6. Step 6: Final answer
    x = 11,762,688.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.