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Finding the Third Proportional to 3,190,927,414 and 4,901,655,201

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Solution

The third proportional to 3,190,927,414 and 4,901,655,201 is: 7,529,542,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190,927,414 : 4,901,655,201 = 4,901,655,201 : x
  2. Step 2: Convert to fraction form
    3,190,927,414/4,901,655,201 = 4,901,655,201/x
  3. Step 3: Cross multiply
    3,190,927,414x = 4,901,655,201 × 4,901,655,201
  4. Step 4: Simplify right side
    3,190,927,414x = 24,026,223,709,490,352,128
  5. Step 5: Solve for x
    x = 24,026,223,709,490,352,128/3,190,927,414
  6. Step 6: Final answer
    x = 7,529,542,541.17

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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.