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Finding the Third Proportional to 16,382,385,312,990 and 35,648,730,377,457

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Solution

The third proportional to 16,382,385,312,990 and 35,648,730,377,457 is: 77,573,073,349,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382,385,312,990 : 35,648,730,377,457 = 35,648,730,377,457 : x
  2. Step 2: Convert to fraction form
    16,382,385,312,990/35,648,730,377,457 = 35,648,730,377,457/x
  3. Step 3: Cross multiply
    16,382,385,312,990x = 35,648,730,377,457 × 35,648,730,377,457
  4. Step 4: Simplify right side
    16,382,385,312,990x = 1,270,831,977,524,625,598,589,173,760
  5. Step 5: Solve for x
    x = 1,270,831,977,524,625,598,589,173,760/16,382,385,312,990
  6. Step 6: Final answer
    x = 77,573,073,349,517.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.