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Finding the Third Proportional to 4,676,114 and 9,719,572

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Solution

The third proportional to 4,676,114 and 9,719,572 is: 20,202,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676,114 : 9,719,572 = 9,719,572 : x
  2. Step 2: Convert to fraction form
    4,676,114/9,719,572 = 9,719,572/x
  3. Step 3: Cross multiply
    4,676,114x = 9,719,572 × 9,719,572
  4. Step 4: Simplify right side
    4,676,114x = 94,470,079,863,184
  5. Step 5: Solve for x
    x = 94,470,079,863,184/4,676,114
  6. Step 6: Final answer
    x = 20,202,689.64

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.