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Finding the Third Proportional to 14,144,356,128 and 23,572,506,186

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Solution

The third proportional to 14,144,356,128 and 23,572,506,186 is: 39,285,142,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144,356,128 : 23,572,506,186 = 23,572,506,186 : x
  2. Step 2: Convert to fraction form
    14,144,356,128/23,572,506,186 = 23,572,506,186/x
  3. Step 3: Cross multiply
    14,144,356,128x = 23,572,506,186 × 23,572,506,186
  4. Step 4: Simplify right side
    14,144,356,128x = 555,663,047,889,008,263,168
  5. Step 5: Solve for x
    x = 555,663,047,889,008,263,168/14,144,356,128
  6. Step 6: Final answer
    x = 39,285,142,629.36

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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.