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Finding the Third Proportional to 2,153,560,401 and 4,674,663,927

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Solution

The third proportional to 2,153,560,401 and 4,674,663,927 is: 10,147,141,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,560,401 : 4,674,663,927 = 4,674,663,927 : x
  2. Step 2: Convert to fraction form
    2,153,560,401/4,674,663,927 = 4,674,663,927/x
  3. Step 3: Cross multiply
    2,153,560,401x = 4,674,663,927 × 4,674,663,927
  4. Step 4: Simplify right side
    2,153,560,401x = 21,852,482,830,395,060,224
  5. Step 5: Solve for x
    x = 21,852,482,830,395,060,224/2,153,560,401
  6. Step 6: Final answer
    x = 10,147,141,830.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.