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Finding the Third Proportional to 20,284,946 and 45,105,316

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Solution

The third proportional to 20,284,946 and 45,105,316 is: 100,295,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284,946 : 45,105,316 = 45,105,316 : x
  2. Step 2: Convert to fraction form
    20,284,946/45,105,316 = 45,105,316/x
  3. Step 3: Cross multiply
    20,284,946x = 45,105,316 × 45,105,316
  4. Step 4: Simplify right side
    20,284,946x = 2,034,489,531,459,856
  5. Step 5: Solve for x
    x = 2,034,489,531,459,856/20,284,946
  6. Step 6: Final answer
    x = 100,295,535.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.