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Finding the Third Proportional to 30,681,714.94 and 68,173,930.13

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Solution

The third proportional to 30,681,714.94 and 68,173,930.13 is: 151,480,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681,714.94 : 68,173,930.13 = 68,173,930.13 : x
  2. Step 2: Convert to fraction form
    30,681,714.94/68,173,930.13 = 68,173,930.13/x
  3. Step 3: Cross multiply
    30,681,714.94x = 68,173,930.13 × 68,173,930.13
  4. Step 4: Simplify right side
    30,681,714.94x = 4,647,684,748,688,383
  5. Step 5: Solve for x
    x = 4,647,684,748,688,383/30,681,714.94
  6. Step 6: Final answer
    x = 151,480,605.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.