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Finding the Third Proportional to 341,628,585,541 and 734,671,098,445

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Solution

The third proportional to 341,628,585,541 and 734,671,098,445 is: 1,579,907,670,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,628,585,541 : 734,671,098,445 = 734,671,098,445 : x
  2. Step 2: Convert to fraction form
    341,628,585,541/734,671,098,445 = 734,671,098,445/x
  3. Step 3: Cross multiply
    341,628,585,541x = 734,671,098,445 × 734,671,098,445
  4. Step 4: Simplify right side
    341,628,585,541x = 539,741,622,890,382,864,941,056
  5. Step 5: Solve for x
    x = 539,741,622,890,382,864,941,056/341,628,585,541
  6. Step 6: Final answer
    x = 1,579,907,670,886.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.