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Finding the Third Proportional to 9,461,135.63 and 20,713,423.13

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Solution

The third proportional to 9,461,135.63 and 20,713,423.13 is: 45,348,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461,135.63 : 20,713,423.13 = 20,713,423.13 : x
  2. Step 2: Convert to fraction form
    9,461,135.63/20,713,423.13 = 20,713,423.13/x
  3. Step 3: Cross multiply
    9,461,135.63x = 20,713,423.13 × 20,713,423.13
  4. Step 4: Simplify right side
    9,461,135.63x = 429,045,897,555,284.75
  5. Step 5: Solve for x
    x = 429,045,897,555,284.75/9,461,135.63
  6. Step 6: Final answer
    x = 45,348,245.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.