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Finding the Third Proportional to 107,402,473,728 and 168,482,786,616

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Solution

The third proportional to 107,402,473,728 and 168,482,786,616 is: 264,299,772,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,402,473,728 : 168,482,786,616 = 168,482,786,616 : x
  2. Step 2: Convert to fraction form
    107,402,473,728/168,482,786,616 = 168,482,786,616/x
  3. Step 3: Cross multiply
    107,402,473,728x = 168,482,786,616 × 168,482,786,616
  4. Step 4: Simplify right side
    107,402,473,728x = 28,386,449,385,892,586,979,328
  5. Step 5: Solve for x
    x = 28,386,449,385,892,586,979,328/107,402,473,728
  6. Step 6: Final answer
    x = 264,299,772,627.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.