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Finding the Third Proportional to 4,006,465 and 9,448,196

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Solution

The third proportional to 4,006,465 and 9,448,196 is: 22,281,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006,465 : 9,448,196 = 9,448,196 : x
  2. Step 2: Convert to fraction form
    4,006,465/9,448,196 = 9,448,196/x
  3. Step 3: Cross multiply
    4,006,465x = 9,448,196 × 9,448,196
  4. Step 4: Simplify right side
    4,006,465x = 89,268,407,654,416
  5. Step 5: Solve for x
    x = 89,268,407,654,416/4,006,465
  6. Step 6: Final answer
    x = 22,281,090.10

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.