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Finding the Third Proportional to 13,288,099,312 and 31,367,828,662

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Solution

The third proportional to 13,288,099,312 and 31,367,828,662 is: 74,046,758,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288,099,312 : 31,367,828,662 = 31,367,828,662 : x
  2. Step 2: Convert to fraction form
    13,288,099,312/31,367,828,662 = 31,367,828,662/x
  3. Step 3: Cross multiply
    13,288,099,312x = 31,367,828,662 × 31,367,828,662
  4. Step 4: Simplify right side
    13,288,099,312x = 983,940,674,968,588,648,448
  5. Step 5: Solve for x
    x = 983,940,674,968,588,648,448/13,288,099,312
  6. Step 6: Final answer
    x = 74,046,758,070.21

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