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Finding the Third Proportional to 10,655,209 and 23,015,468

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Solution

The third proportional to 10,655,209 and 23,015,468 is: 49,713,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655,209 : 23,015,468 = 23,015,468 : x
  2. Step 2: Convert to fraction form
    10,655,209/23,015,468 = 23,015,468/x
  3. Step 3: Cross multiply
    10,655,209x = 23,015,468 × 23,015,468
  4. Step 4: Simplify right side
    10,655,209x = 529,711,767,259,024
  5. Step 5: Solve for x
    x = 529,711,767,259,024/10,655,209
  6. Step 6: Final answer
    x = 49,713,878.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.