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Finding the Third Proportional to 9,570,215 and 21,000,458

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Solution

The third proportional to 9,570,215 and 21,000,458 is: 46,082,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,215 : 21,000,458 = 21,000,458 : x
  2. Step 2: Convert to fraction form
    9,570,215/21,000,458 = 21,000,458/x
  3. Step 3: Cross multiply
    9,570,215x = 21,000,458 × 21,000,458
  4. Step 4: Simplify right side
    9,570,215x = 441,019,236,209,764
  5. Step 5: Solve for x
    x = 441,019,236,209,764/9,570,215
  6. Step 6: Final answer
    x = 46,082,479.46

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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.