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Finding the Third Proportional to 671,426,650 and 1,444,890,006

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Solution

The third proportional to 671,426,650 and 1,444,890,006 is: 3,109,359,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,426,650 : 1,444,890,006 = 1,444,890,006 : x
  2. Step 2: Convert to fraction form
    671,426,650/1,444,890,006 = 1,444,890,006/x
  3. Step 3: Cross multiply
    671,426,650x = 1,444,890,006 × 1,444,890,006
  4. Step 4: Simplify right side
    671,426,650x = 2,087,707,129,438,680,064
  5. Step 5: Solve for x
    x = 2,087,707,129,438,680,064/671,426,650
  6. Step 6: Final answer
    x = 3,109,359,941.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.