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Finding the Third Proportional to 6,136,776 and 9,205,164

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Solution

The third proportional to 6,136,776 and 9,205,164 is: 13,807,746

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136,776 : 9,205,164 = 9,205,164 : x
  2. Step 2: Convert to fraction form
    6,136,776/9,205,164 = 9,205,164/x
  3. Step 3: Cross multiply
    6,136,776x = 9,205,164 × 9,205,164
  4. Step 4: Simplify right side
    6,136,776x = 84,735,044,266,896
  5. Step 5: Solve for x
    x = 84,735,044,266,896/6,136,776
  6. Step 6: Final answer
    x = 13,807,746

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.