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Finding the Third Proportional to 23,874,603.19 and 51,152,714.16

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Solution

The third proportional to 23,874,603.19 and 51,152,714.16 is: 109,597,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874,603.19 : 51,152,714.16 = 51,152,714.16 : x
  2. Step 2: Convert to fraction form
    23,874,603.19/51,152,714.16 = 51,152,714.16/x
  3. Step 3: Cross multiply
    23,874,603.19x = 51,152,714.16 × 51,152,714.16
  4. Step 4: Simplify right side
    23,874,603.19x = 2,616,600,165,551,019
  5. Step 5: Solve for x
    x = 2,616,600,165,551,019/23,874,603.19
  6. Step 6: Final answer
    x = 109,597,640.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.