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Finding the Third Proportional to 14,470,852 and 31,461,128

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Solution

The third proportional to 14,470,852 and 31,461,128 is: 68,399,744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470,852 : 31,461,128 = 31,461,128 : x
  2. Step 2: Convert to fraction form
    14,470,852/31,461,128 = 31,461,128/x
  3. Step 3: Cross multiply
    14,470,852x = 31,461,128 × 31,461,128
  4. Step 4: Simplify right side
    14,470,852x = 989,802,575,032,384
  5. Step 5: Solve for x
    x = 989,802,575,032,384/14,470,852
  6. Step 6: Final answer
    x = 68,399,744.19

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Why These Related Problems?

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