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Finding the Third Proportional to 14,470,821 and 31,461,066

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Solution

The third proportional to 14,470,821 and 31,461,066 is: 68,399,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470,821 : 31,461,066 = 31,461,066 : x
  2. Step 2: Convert to fraction form
    14,470,821/31,461,066 = 31,461,066/x
  3. Step 3: Cross multiply
    14,470,821x = 31,461,066 × 31,461,066
  4. Step 4: Simplify right side
    14,470,821x = 989,798,673,856,356
  5. Step 5: Solve for x
    x = 989,798,673,856,356/14,470,821
  6. Step 6: Final answer
    x = 68,399,621.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.