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Finding the Third Proportional to 9,570,213 and 21,000,455

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Solution

The third proportional to 9,570,213 and 21,000,455 is: 46,082,475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,213 : 21,000,455 = 21,000,455 : x
  2. Step 2: Convert to fraction form
    9,570,213/21,000,455 = 21,000,455/x
  3. Step 3: Cross multiply
    9,570,213x = 21,000,455 × 21,000,455
  4. Step 4: Simplify right side
    9,570,213x = 441,019,110,207,025
  5. Step 5: Solve for x
    x = 441,019,110,207,025/9,570,213
  6. Step 6: Final answer
    x = 46,082,475.93

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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.