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Finding the Third Proportional to 7,454,708,108 and 16,564,255,324

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Solution

The third proportional to 7,454,708,108 and 16,564,255,324 is: 36,805,539,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454,708,108 : 16,564,255,324 = 16,564,255,324 : x
  2. Step 2: Convert to fraction form
    7,454,708,108/16,564,255,324 = 16,564,255,324/x
  3. Step 3: Cross multiply
    7,454,708,108x = 16,564,255,324 × 16,564,255,324
  4. Step 4: Simplify right side
    7,454,708,108x = 274,374,554,438,662,356,992
  5. Step 5: Solve for x
    x = 274,374,554,438,662,356,992/7,454,708,108
  6. Step 6: Final answer
    x = 36,805,539,595.07

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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.