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Finding the Third Proportional to 9,824,262 and 21,141,516

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Solution

The third proportional to 9,824,262 and 21,141,516 is: 45,495,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824,262 : 21,141,516 = 21,141,516 : x
  2. Step 2: Convert to fraction form
    9,824,262/21,141,516 = 21,141,516/x
  3. Step 3: Cross multiply
    9,824,262x = 21,141,516 × 21,141,516
  4. Step 4: Simplify right side
    9,824,262x = 446,963,698,778,256
  5. Step 5: Solve for x
    x = 446,963,698,778,256/9,824,262
  6. Step 6: Final answer
    x = 45,495,905.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.