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Finding the Third Proportional to 573,017,143 and 1,227,728,455

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Solution

The third proportional to 573,017,143 and 1,227,728,455 is: 2,630,492,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,017,143 : 1,227,728,455 = 1,227,728,455 : x
  2. Step 2: Convert to fraction form
    573,017,143/1,227,728,455 = 1,227,728,455/x
  3. Step 3: Cross multiply
    573,017,143x = 1,227,728,455 × 1,227,728,455
  4. Step 4: Simplify right side
    573,017,143x = 1,507,317,159,216,687,104
  5. Step 5: Solve for x
    x = 1,507,317,159,216,687,104/573,017,143
  6. Step 6: Final answer
    x = 2,630,492,259.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.