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Finding the Third Proportional to 9,145,316 and 14,034,196

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Solution

The third proportional to 9,145,316 and 14,034,196 is: 21,536,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145,316 : 14,034,196 = 14,034,196 : x
  2. Step 2: Convert to fraction form
    9,145,316/14,034,196 = 14,034,196/x
  3. Step 3: Cross multiply
    9,145,316x = 14,034,196 × 14,034,196
  4. Step 4: Simplify right side
    9,145,316x = 196,958,657,366,416
  5. Step 5: Solve for x
    x = 196,958,657,366,416/9,145,316
  6. Step 6: Final answer
    x = 21,536,561.16

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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.