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Finding the Third Proportional to 9,406,428.75 and 13,746,692.25

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Solution

The third proportional to 9,406,428.75 and 13,746,692.25 is: 20,089,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406,428.75 : 13,746,692.25 = 13,746,692.25 : x
  2. Step 2: Convert to fraction form
    9,406,428.75/13,746,692.25 = 13,746,692.25/x
  3. Step 3: Cross multiply
    9,406,428.75x = 13,746,692.25 × 13,746,692.25
  4. Step 4: Simplify right side
    9,406,428.75x = 188,971,547,816,210.06
  5. Step 5: Solve for x
    x = 188,971,547,816,210.06/9,406,428.75
  6. Step 6: Final answer
    x = 20,089,616.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.