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Finding the Third Proportional to 15,783,090,282 and 34,344,640,247

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Solution

The third proportional to 15,783,090,282 and 34,344,640,247 is: 74,735,320,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783,090,282 : 34,344,640,247 = 34,344,640,247 : x
  2. Step 2: Convert to fraction form
    15,783,090,282/34,344,640,247 = 34,344,640,247/x
  3. Step 3: Cross multiply
    15,783,090,282x = 34,344,640,247 × 34,344,640,247
  4. Step 4: Simplify right side
    15,783,090,282x = 1,179,554,313,695,852,232,704
  5. Step 5: Solve for x
    x = 1,179,554,313,695,852,232,704/15,783,090,282
  6. Step 6: Final answer
    x = 74,735,320,689.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.