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Finding the Third Proportional to 1,508,792,836 and 3,298,075,496

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Solution

The third proportional to 1,508,792,836 and 3,298,075,496 is: 7,209,274,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508,792,836 : 3,298,075,496 = 3,298,075,496 : x
  2. Step 2: Convert to fraction form
    1,508,792,836/3,298,075,496 = 3,298,075,496/x
  3. Step 3: Cross multiply
    1,508,792,836x = 3,298,075,496 × 3,298,075,496
  4. Step 4: Simplify right side
    1,508,792,836x = 10,877,301,977,315,645,440
  5. Step 5: Solve for x
    x = 10,877,301,977,315,645,440/1,508,792,836
  6. Step 6: Final answer
    x = 7,209,274,671.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.