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Finding the Third Proportional to 9,570,209 and 21,000,447

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Solution

The third proportional to 9,570,209 and 21,000,447 is: 46,082,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,209 : 21,000,447 = 21,000,447 : x
  2. Step 2: Convert to fraction form
    9,570,209/21,000,447 = 21,000,447/x
  3. Step 3: Cross multiply
    9,570,209x = 21,000,447 × 21,000,447
  4. Step 4: Simplify right side
    9,570,209x = 441,018,774,199,809
  5. Step 5: Solve for x
    x = 441,018,774,199,809/9,570,209
  6. Step 6: Final answer
    x = 46,082,460.08

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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.