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Finding the Third Proportional to 43,317,865,681,572 and 65,533,925,628,954

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Solution

The third proportional to 43,317,865,681,572 and 65,533,925,628,954 is: 99,143,744,521,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,317,865,681,572 : 65,533,925,628,954 = 65,533,925,628,954 : x
  2. Step 2: Convert to fraction form
    43,317,865,681,572/65,533,925,628,954 = 65,533,925,628,954/x
  3. Step 3: Cross multiply
    43,317,865,681,572x = 65,533,925,628,954 × 65,533,925,628,954
  4. Step 4: Simplify right side
    43,317,865,681,572x = 4,294,695,408,341,273,717,491,367,936
  5. Step 5: Solve for x
    x = 4,294,695,408,341,273,717,491,367,936/43,317,865,681,572
  6. Step 6: Final answer
    x = 99,143,744,521,288.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.