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Finding the Third Proportional to 6,903,875 and 10,355,813

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Solution

The third proportional to 6,903,875 and 10,355,813 is: 15,533,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903,875 : 10,355,813 = 10,355,813 : x
  2. Step 2: Convert to fraction form
    6,903,875/10,355,813 = 10,355,813/x
  3. Step 3: Cross multiply
    6,903,875x = 10,355,813 × 10,355,813
  4. Step 4: Simplify right side
    6,903,875x = 107,242,862,890,969
  5. Step 5: Solve for x
    x = 107,242,862,890,969/6,903,875
  6. Step 6: Final answer
    x = 15,533,720.25

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Why These Related Problems?

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