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Finding the Third Proportional to 776,113,041,718 and 1,688,889,975,338

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Solution

The third proportional to 776,113,041,718 and 1,688,889,975,338 is: 3,675,172,552,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,113,041,718 : 1,688,889,975,338 = 1,688,889,975,338 : x
  2. Step 2: Convert to fraction form
    776,113,041,718/1,688,889,975,338 = 1,688,889,975,338/x
  3. Step 3: Cross multiply
    776,113,041,718x = 1,688,889,975,338 × 1,688,889,975,338
  4. Step 4: Simplify right side
    776,113,041,718x = 2,852,349,348,797,190,496,059,392
  5. Step 5: Solve for x
    x = 2,852,349,348,797,190,496,059,392/776,113,041,718
  6. Step 6: Final answer
    x = 3,675,172,552,806.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.