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Finding the Third Proportional to 341,628,585,260 and 734,671,097,932

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Solution

The third proportional to 341,628,585,260 and 734,671,097,932 is: 1,579,907,669,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,628,585,260 : 734,671,097,932 = 734,671,097,932 : x
  2. Step 2: Convert to fraction form
    341,628,585,260/734,671,097,932 = 734,671,097,932/x
  3. Step 3: Cross multiply
    341,628,585,260x = 734,671,097,932 × 734,671,097,932
  4. Step 4: Simplify right side
    341,628,585,260x = 539,741,622,136,610,333,130,752
  5. Step 5: Solve for x
    x = 539,741,622,136,610,333,130,752/341,628,585,260
  6. Step 6: Final answer
    x = 1,579,907,669,979.77

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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.