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Finding the Third Proportional to 1,700,653,441 and 2,431,937,324

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Solution

The third proportional to 1,700,653,441 and 2,431,937,324 is: 3,477,674,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700,653,441 : 2,431,937,324 = 2,431,937,324 : x
  2. Step 2: Convert to fraction form
    1,700,653,441/2,431,937,324 = 2,431,937,324/x
  3. Step 3: Cross multiply
    1,700,653,441x = 2,431,937,324 × 2,431,937,324
  4. Step 4: Simplify right side
    1,700,653,441x = 5,914,319,147,864,281,088
  5. Step 5: Solve for x
    x = 5,914,319,147,864,281,088/1,700,653,441
  6. Step 6: Final answer
    x = 3,477,674,525.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.