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Finding the Third Proportional to 2,095,460,160 and 3,492,223,128

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Solution

The third proportional to 2,095,460,160 and 3,492,223,128 is: 5,820,021,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,460,160 : 3,492,223,128 = 3,492,223,128 : x
  2. Step 2: Convert to fraction form
    2,095,460,160/3,492,223,128 = 3,492,223,128/x
  3. Step 3: Cross multiply
    2,095,460,160x = 3,492,223,128 × 3,492,223,128
  4. Step 4: Simplify right side
    2,095,460,160x = 12,195,622,375,738,103,808
  5. Step 5: Solve for x
    x = 12,195,622,375,738,103,808/2,095,460,160
  6. Step 6: Final answer
    x = 5,820,021,114.47

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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.