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Finding the Third Proportional to 18,310,096,320 and 39,547,342,848

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Solution

The third proportional to 18,310,096,320 and 39,547,342,848 is: 85,416,936,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,310,096,320 : 39,547,342,848 = 39,547,342,848 : x
  2. Step 2: Convert to fraction form
    18,310,096,320/39,547,342,848 = 39,547,342,848/x
  3. Step 3: Cross multiply
    18,310,096,320x = 39,547,342,848 × 39,547,342,848
  4. Step 4: Simplify right side
    18,310,096,320x = 1,563,992,326,337,256,751,104
  5. Step 5: Solve for x
    x = 1,563,992,326,337,256,751,104/18,310,096,320
  6. Step 6: Final answer
    x = 85,416,936,044.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.