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Finding the Third Proportional to 266,368,459,854.38 and 621,547,885,469.80

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Solution

The third proportional to 266,368,459,854.38 and 621,547,885,469.80 is: 1,450,328,519,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,368,459,854.38 : 621,547,885,469.80 = 621,547,885,469.80 : x
  2. Step 2: Convert to fraction form
    266,368,459,854.38/621,547,885,469.80 = 621,547,885,469.80/x
  3. Step 3: Cross multiply
    266,368,459,854.38x = 621,547,885,469.80 × 621,547,885,469.80
  4. Step 4: Simplify right side
    266,368,459,854.38x = 386,321,773,931,979,700,436,992
  5. Step 5: Solve for x
    x = 386,321,773,931,979,700,436,992/266,368,459,854.38
  6. Step 6: Final answer
    x = 1,450,328,519,161.68

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1.5x scale

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.