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Finding the Third Proportional to 9,570,140 and 21,000,324

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Solution

The third proportional to 9,570,140 and 21,000,324 is: 46,082,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,140 : 21,000,324 = 21,000,324 : x
  2. Step 2: Convert to fraction form
    9,570,140/21,000,324 = 21,000,324/x
  3. Step 3: Cross multiply
    9,570,140x = 21,000,324 × 21,000,324
  4. Step 4: Simplify right side
    9,570,140x = 441,013,608,104,976
  5. Step 5: Solve for x
    x = 441,013,608,104,976/9,570,140
  6. Step 6: Final answer
    x = 46,082,252.52

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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.