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Finding the Third Proportional to 14,948,640 and 32,689,008

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Solution

The third proportional to 14,948,640 and 32,689,008 is: 71,482,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948,640 : 32,689,008 = 32,689,008 : x
  2. Step 2: Convert to fraction form
    14,948,640/32,689,008 = 32,689,008/x
  3. Step 3: Cross multiply
    14,948,640x = 32,689,008 × 32,689,008
  4. Step 4: Simplify right side
    14,948,640x = 1,068,571,244,024,064
  5. Step 5: Solve for x
    x = 1,068,571,244,024,064/14,948,640
  6. Step 6: Final answer
    x = 71,482,840.18

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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.