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Finding the Third Proportional to 2,095,460,129 and 3,492,223,082

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Solution

The third proportional to 2,095,460,129 and 3,492,223,082 is: 5,820,021,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,460,129 : 3,492,223,082 = 3,492,223,082 : x
  2. Step 2: Convert to fraction form
    2,095,460,129/3,492,223,082 = 3,492,223,082/x
  3. Step 3: Cross multiply
    2,095,460,129x = 3,492,223,082 × 3,492,223,082
  4. Step 4: Simplify right side
    2,095,460,129x = 12,195,622,054,453,577,728
  5. Step 5: Solve for x
    x = 12,195,622,054,453,577,728/2,095,460,129
  6. Step 6: Final answer
    x = 5,820,021,047.25

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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.