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Finding the Third Proportional to 7,186,833,963,690 and 15,980,541,437,550

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Solution

The third proportional to 7,186,833,963,690 and 15,980,541,437,550 is: 35,534,103,880,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186,833,963,690 : 15,980,541,437,550 = 15,980,541,437,550 : x
  2. Step 2: Convert to fraction form
    7,186,833,963,690/15,980,541,437,550 = 15,980,541,437,550/x
  3. Step 3: Cross multiply
    7,186,833,963,690x = 15,980,541,437,550 × 15,980,541,437,550
  4. Step 4: Simplify right side
    7,186,833,963,690x = 255,377,704,637,252,627,601,555,456
  5. Step 5: Solve for x
    x = 255,377,704,637,252,627,601,555,456/7,186,833,963,690
  6. Step 6: Final answer
    x = 35,534,103,880,442.48

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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.