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Finding the Third Proportional to 4,480,791,837,588 and 9,641,178,497,964

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Solution

The third proportional to 4,480,791,837,588 and 9,641,178,497,964 is: 20,744,619,745,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480,791,837,588 : 9,641,178,497,964 = 9,641,178,497,964 : x
  2. Step 2: Convert to fraction form
    4,480,791,837,588/9,641,178,497,964 = 9,641,178,497,964/x
  3. Step 3: Cross multiply
    4,480,791,837,588x = 9,641,178,497,964 × 9,641,178,497,964
  4. Step 4: Simplify right side
    4,480,791,837,588x = 92,952,322,829,603,366,106,038,272
  5. Step 5: Solve for x
    x = 92,952,322,829,603,366,106,038,272/4,480,791,837,588
  6. Step 6: Final answer
    x = 20,744,619,745,522.34

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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.