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Finding the Third Proportional to 9,884,064 and 21,657,696

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Solution

The third proportional to 9,884,064 and 21,657,696 is: 47,455,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884,064 : 21,657,696 = 21,657,696 : x
  2. Step 2: Convert to fraction form
    9,884,064/21,657,696 = 21,657,696/x
  3. Step 3: Cross multiply
    9,884,064x = 21,657,696 × 21,657,696
  4. Step 4: Simplify right side
    9,884,064x = 469,055,796,028,416
  5. Step 5: Solve for x
    x = 469,055,796,028,416/9,884,064
  6. Step 6: Final answer
    x = 47,455,762.73

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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.