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Finding the Third Proportional to 2,095,460,131 and 3,492,223,085

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Solution

The third proportional to 2,095,460,131 and 3,492,223,085 is: 5,820,021,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,460,131 : 3,492,223,085 = 3,492,223,085 : x
  2. Step 2: Convert to fraction form
    2,095,460,131/3,492,223,085 = 3,492,223,085/x
  3. Step 3: Cross multiply
    2,095,460,131x = 3,492,223,085 × 3,492,223,085
  4. Step 4: Simplify right side
    2,095,460,131x = 12,195,622,075,406,917,632
  5. Step 5: Solve for x
    x = 12,195,622,075,406,917,632/2,095,460,131
  6. Step 6: Final answer
    x = 5,820,021,051.69

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.