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Finding the Third Proportional to 1,617,559,632 and 3,492,870,336

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Solution

The third proportional to 1,617,559,632 and 3,492,870,336 is: 7,542,314,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,559,632 : 3,492,870,336 = 3,492,870,336 : x
  2. Step 2: Convert to fraction form
    1,617,559,632/3,492,870,336 = 3,492,870,336/x
  3. Step 3: Cross multiply
    1,617,559,632x = 3,492,870,336 × 3,492,870,336
  4. Step 4: Simplify right side
    1,617,559,632x = 12,200,143,184,108,752,896
  5. Step 5: Solve for x
    x = 12,200,143,184,108,752,896/1,617,559,632
  6. Step 6: Final answer
    x = 7,542,314,325.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.