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Finding the Third Proportional to 266,368,459,855.50 and 621,547,885,472

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Solution

The third proportional to 266,368,459,855.50 and 621,547,885,472 is: 1,450,328,519,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,368,459,855.50 : 621,547,885,472 = 621,547,885,472 : x
  2. Step 2: Convert to fraction form
    266,368,459,855.50/621,547,885,472 = 621,547,885,472/x
  3. Step 3: Cross multiply
    266,368,459,855.50x = 621,547,885,472 × 621,547,885,472
  4. Step 4: Simplify right side
    266,368,459,855.50x = 386,321,773,934,714,453,753,856
  5. Step 5: Solve for x
    x = 386,321,773,934,714,453,753,856/266,368,459,855.50
  6. Step 6: Final answer
    x = 1,450,328,519,165.85

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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.