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Finding the Third Proportional to 13,703,075,582 and 21,804,287,096

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Solution

The third proportional to 13,703,075,582 and 21,804,287,096 is: 34,694,907,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703,075,582 : 21,804,287,096 = 21,804,287,096 : x
  2. Step 2: Convert to fraction form
    13,703,075,582/21,804,287,096 = 21,804,287,096/x
  3. Step 3: Cross multiply
    13,703,075,582x = 21,804,287,096 × 21,804,287,096
  4. Step 4: Simplify right side
    13,703,075,582x = 475,426,935,764,792,115,200
  5. Step 5: Solve for x
    x = 475,426,935,764,792,115,200/13,703,075,582
  6. Step 6: Final answer
    x = 34,694,907,206.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.