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Finding the Third Proportional to 9,829,666,296 and 21,662,931,600

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Solution

The third proportional to 9,829,666,296 and 21,662,931,600 is: 47,741,458,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,666,296 : 21,662,931,600 = 21,662,931,600 : x
  2. Step 2: Convert to fraction form
    9,829,666,296/21,662,931,600 = 21,662,931,600/x
  3. Step 3: Cross multiply
    9,829,666,296x = 21,662,931,600 × 21,662,931,600
  4. Step 4: Simplify right side
    9,829,666,296x = 469,282,605,506,278,588,416
  5. Step 5: Solve for x
    x = 469,282,605,506,278,588,416/9,829,666,296
  6. Step 6: Final answer
    x = 47,741,458,496.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.