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Finding the Third Proportional to 14,532,301,152 and 31,815,811,584

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Solution

The third proportional to 14,532,301,152 and 31,815,811,584 is: 69,654,891,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532,301,152 : 31,815,811,584 = 31,815,811,584 : x
  2. Step 2: Convert to fraction form
    14,532,301,152/31,815,811,584 = 31,815,811,584/x
  3. Step 3: Cross multiply
    14,532,301,152x = 31,815,811,584 × 31,815,811,584
  4. Step 4: Simplify right side
    14,532,301,152x = 1,012,245,866,748,588,589,056
  5. Step 5: Solve for x
    x = 1,012,245,866,748,588,589,056/14,532,301,152
  6. Step 6: Final answer
    x = 69,654,891,965.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.