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Finding the Third Proportional to 13,288,099,308 and 31,367,828,652

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Solution

The third proportional to 13,288,099,308 and 31,367,828,652 is: 74,046,758,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288,099,308 : 31,367,828,652 = 31,367,828,652 : x
  2. Step 2: Convert to fraction form
    13,288,099,308/31,367,828,652 = 31,367,828,652/x
  3. Step 3: Cross multiply
    13,288,099,308x = 31,367,828,652 × 31,367,828,652
  4. Step 4: Simplify right side
    13,288,099,308x = 983,940,674,341,232,181,248
  5. Step 5: Solve for x
    x = 983,940,674,341,232,181,248/13,288,099,308
  6. Step 6: Final answer
    x = 74,046,758,045.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.