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Finding the Third Proportional to 261,534,582 and 554,949,063

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Solution

The third proportional to 261,534,582 and 554,949,063 is: 1,177,543,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,534,582 : 554,949,063 = 554,949,063 : x
  2. Step 2: Convert to fraction form
    261,534,582/554,949,063 = 554,949,063/x
  3. Step 3: Cross multiply
    261,534,582x = 554,949,063 × 554,949,063
  4. Step 4: Simplify right side
    261,534,582x = 307,968,462,524,577,984
  5. Step 5: Solve for x
    x = 307,968,462,524,577,984/261,534,582
  6. Step 6: Final answer
    x = 1,177,543,941.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.