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Finding the Third Proportional to 464,605,710 and 1,011,145,152

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Solution

The third proportional to 464,605,710 and 1,011,145,152 is: 2,200,606,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,605,710 : 1,011,145,152 = 1,011,145,152 : x
  2. Step 2: Convert to fraction form
    464,605,710/1,011,145,152 = 1,011,145,152/x
  3. Step 3: Cross multiply
    464,605,710x = 1,011,145,152 × 1,011,145,152
  4. Step 4: Simplify right side
    464,605,710x = 1,022,414,518,413,103,104
  5. Step 5: Solve for x
    x = 1,022,414,518,413,103,104/464,605,710
  6. Step 6: Final answer
    x = 2,200,606,872.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.