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Finding the Third Proportional to 9,506,052 and 20,527,209

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Solution

The third proportional to 9,506,052 and 20,527,209 is: 44,326,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506,052 : 20,527,209 = 20,527,209 : x
  2. Step 2: Convert to fraction form
    9,506,052/20,527,209 = 20,527,209/x
  3. Step 3: Cross multiply
    9,506,052x = 20,527,209 × 20,527,209
  4. Step 4: Simplify right side
    9,506,052x = 421,366,309,329,681
  5. Step 5: Solve for x
    x = 421,366,309,329,681/9,506,052
  6. Step 6: Final answer
    x = 44,326,110.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.