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Finding the Third Proportional to 3,190,927,546 and 4,901,655,401

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Solution

The third proportional to 3,190,927,546 and 4,901,655,401 is: 7,529,542,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190,927,546 : 4,901,655,401 = 4,901,655,401 : x
  2. Step 2: Convert to fraction form
    3,190,927,546/4,901,655,401 = 4,901,655,401/x
  3. Step 3: Cross multiply
    3,190,927,546x = 4,901,655,401 × 4,901,655,401
  4. Step 4: Simplify right side
    3,190,927,546x = 24,026,225,670,152,470,528
  5. Step 5: Solve for x
    x = 24,026,225,670,152,470,528/3,190,927,546
  6. Step 6: Final answer
    x = 7,529,542,844.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.