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Finding the Third Proportional to 16,382,385,312,993 and 35,648,730,377,463

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Solution

The third proportional to 16,382,385,312,993 and 35,648,730,377,463 is: 77,573,073,349,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382,385,312,993 : 35,648,730,377,463 = 35,648,730,377,463 : x
  2. Step 2: Convert to fraction form
    16,382,385,312,993/35,648,730,377,463 = 35,648,730,377,463/x
  3. Step 3: Cross multiply
    16,382,385,312,993x = 35,648,730,377,463 × 35,648,730,377,463
  4. Step 4: Simplify right side
    16,382,385,312,993x = 1,270,831,977,525,053,308,612,378,624
  5. Step 5: Solve for x
    x = 1,270,831,977,525,053,308,612,378,624/16,382,385,312,993
  6. Step 6: Final answer
    x = 77,573,073,349,529.05

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