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Finding the Third Proportional to 6,594,976,098 and 14,223,046,932

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Solution

The third proportional to 6,594,976,098 and 14,223,046,932 is: 30,674,116,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594,976,098 : 14,223,046,932 = 14,223,046,932 : x
  2. Step 2: Convert to fraction form
    6,594,976,098/14,223,046,932 = 14,223,046,932/x
  3. Step 3: Cross multiply
    6,594,976,098x = 14,223,046,932 × 14,223,046,932
  4. Step 4: Simplify right side
    6,594,976,098x = 202,295,064,029,874,618,368
  5. Step 5: Solve for x
    x = 202,295,064,029,874,618,368/6,594,976,098
  6. Step 6: Final answer
    x = 30,674,116,330.95

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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.