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Finding the Third Proportional to 46,347,323 and 70,117,496

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Solution

The third proportional to 46,347,323 and 70,117,496 is: 106,078,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,347,323 : 70,117,496 = 70,117,496 : x
  2. Step 2: Convert to fraction form
    46,347,323/70,117,496 = 70,117,496/x
  3. Step 3: Cross multiply
    46,347,323x = 70,117,496 × 70,117,496
  4. Step 4: Simplify right side
    46,347,323x = 4,916,463,245,310,016
  5. Step 5: Solve for x
    x = 4,916,463,245,310,016/46,347,323
  6. Step 6: Final answer
    x = 106,078,688.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.