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Finding the Third Proportional to 9,810,464 and 21,445,696

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Solution

The third proportional to 9,810,464 and 21,445,696 is: 46,880,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810,464 : 21,445,696 = 21,445,696 : x
  2. Step 2: Convert to fraction form
    9,810,464/21,445,696 = 21,445,696/x
  3. Step 3: Cross multiply
    9,810,464x = 21,445,696 × 21,445,696
  4. Step 4: Simplify right side
    9,810,464x = 459,917,876,924,416
  5. Step 5: Solve for x
    x = 459,917,876,924,416/9,810,464
  6. Step 6: Final answer
    x = 46,880,338.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.