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Finding the Third Proportional to 557,166,402 and 837,153,603

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Solution

The third proportional to 557,166,402 and 837,153,603 is: 1,257,839,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,166,402 : 837,153,603 = 837,153,603 : x
  2. Step 2: Convert to fraction form
    557,166,402/837,153,603 = 837,153,603/x
  3. Step 3: Cross multiply
    557,166,402x = 837,153,603 × 837,153,603
  4. Step 4: Simplify right side
    557,166,402x = 700,826,155,015,881,600
  5. Step 5: Solve for x
    x = 700,826,155,015,881,600/557,166,402
  6. Step 6: Final answer
    x = 1,257,839,942.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.