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Finding the Third Proportional to 266,368,459,858 and 621,547,885,477

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Solution

The third proportional to 266,368,459,858 and 621,547,885,477 is: 1,450,328,519,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,368,459,858 : 621,547,885,477 = 621,547,885,477 : x
  2. Step 2: Convert to fraction form
    266,368,459,858/621,547,885,477 = 621,547,885,477/x
  3. Step 3: Cross multiply
    266,368,459,858x = 621,547,885,477 × 621,547,885,477
  4. Step 4: Simplify right side
    266,368,459,858x = 386,321,773,940,929,875,410,944
  5. Step 5: Solve for x
    x = 386,321,773,940,929,875,410,944/266,368,459,858
  6. Step 6: Final answer
    x = 1,450,328,519,175.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.