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Finding the Third Proportional to 9,570,124.69 and 21,000,292.88

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Solution

The third proportional to 9,570,124.69 and 21,000,292.88 is: 46,082,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,124.69 : 21,000,292.88 = 21,000,292.88 : x
  2. Step 2: Convert to fraction form
    9,570,124.69/21,000,292.88 = 21,000,292.88/x
  3. Step 3: Cross multiply
    9,570,124.69x = 21,000,292.88 × 21,000,292.88
  4. Step 4: Simplify right side
    9,570,124.69x = 441,012,300,835,775.75
  5. Step 5: Solve for x
    x = 441,012,300,835,775.75/9,570,124.69
  6. Step 6: Final answer
    x = 46,082,189.65

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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.