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Finding the Third Proportional to 424,679,638.50 and 922,869,618.75

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Solution

The third proportional to 424,679,638.50 and 922,869,618.75 is: 2,005,484,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,679,638.50 : 922,869,618.75 = 922,869,618.75 : x
  2. Step 2: Convert to fraction form
    424,679,638.50/922,869,618.75 = 922,869,618.75/x
  3. Step 3: Cross multiply
    424,679,638.50x = 922,869,618.75 × 922,869,618.75
  4. Step 4: Simplify right side
    424,679,638.50x = 851,688,333,211,770,368
  5. Step 5: Solve for x
    x = 851,688,333,211,770,368/424,679,638.50
  6. Step 6: Final answer
    x = 2,005,484,266.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.