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Finding the Third Proportional to 1,688,334,633 and 3,720,155,598

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Solution

The third proportional to 1,688,334,633 and 3,720,155,598 is: 8,197,165,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,334,633 : 3,720,155,598 = 3,720,155,598 : x
  2. Step 2: Convert to fraction form
    1,688,334,633/3,720,155,598 = 3,720,155,598/x
  3. Step 3: Cross multiply
    1,688,334,633x = 3,720,155,598 × 3,720,155,598
  4. Step 4: Simplify right side
    1,688,334,633x = 13,839,557,673,330,737,152
  5. Step 5: Solve for x
    x = 13,839,557,673,330,737,152/1,688,334,633
  6. Step 6: Final answer
    x = 8,197,165,065.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.