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Finding the Third Proportional to 21,348,912 and 31,458,696

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Solution

The third proportional to 21,348,912 and 31,458,696 is: 46,355,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348,912 : 31,458,696 = 31,458,696 : x
  2. Step 2: Convert to fraction form
    21,348,912/31,458,696 = 31,458,696/x
  3. Step 3: Cross multiply
    21,348,912x = 31,458,696 × 31,458,696
  4. Step 4: Simplify right side
    21,348,912x = 989,649,554,020,416
  5. Step 5: Solve for x
    x = 989,649,554,020,416/21,348,912
  6. Step 6: Final answer
    x = 46,355,971.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.