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Finding the Third Proportional to 657,783,565.50 and 1,462,637,160.75

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Solution

The third proportional to 657,783,565.50 and 1,462,637,160.75 is: 3,252,296,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,783,565.50 : 1,462,637,160.75 = 1,462,637,160.75 : x
  2. Step 2: Convert to fraction form
    657,783,565.50/1,462,637,160.75 = 1,462,637,160.75/x
  3. Step 3: Cross multiply
    657,783,565.50x = 1,462,637,160.75 × 1,462,637,160.75
  4. Step 4: Simplify right side
    657,783,565.50x = 2,139,307,464,006,821,376
  5. Step 5: Solve for x
    x = 2,139,307,464,006,821,376/657,783,565.50
  6. Step 6: Final answer
    x = 3,252,296,919.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.