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Finding the Third Proportional to 6,625,209,312 and 14,181,089,184

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Solution

The third proportional to 6,625,209,312 and 14,181,089,184 is: 30,354,254,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625,209,312 : 14,181,089,184 = 14,181,089,184 : x
  2. Step 2: Convert to fraction form
    6,625,209,312/14,181,089,184 = 14,181,089,184/x
  3. Step 3: Cross multiply
    6,625,209,312x = 14,181,089,184 × 14,181,089,184
  4. Step 4: Simplify right side
    6,625,209,312x = 201,103,290,444,561,776,640
  5. Step 5: Solve for x
    x = 201,103,290,444,561,776,640/6,625,209,312
  6. Step 6: Final answer
    x = 30,354,254,631.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.