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Finding the Third Proportional to 9,570,190 and 21,000,409

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Solution

The third proportional to 9,570,190 and 21,000,409 is: 46,082,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,190 : 21,000,409 = 21,000,409 : x
  2. Step 2: Convert to fraction form
    9,570,190/21,000,409 = 21,000,409/x
  3. Step 3: Cross multiply
    9,570,190x = 21,000,409 × 21,000,409
  4. Step 4: Simplify right side
    9,570,190x = 441,017,178,167,281
  5. Step 5: Solve for x
    x = 441,017,178,167,281/9,570,190
  6. Step 6: Final answer
    x = 46,082,384.80

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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.