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Finding the Third Proportional to 929,812,640 and 2,041,001,184

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Solution

The third proportional to 929,812,640 and 2,041,001,184 is: 4,480,134,657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,812,640 : 2,041,001,184 = 2,041,001,184 : x
  2. Step 2: Convert to fraction form
    929,812,640/2,041,001,184 = 2,041,001,184/x
  3. Step 3: Cross multiply
    929,812,640x = 2,041,001,184 × 2,041,001,184
  4. Step 4: Simplify right side
    929,812,640x = 4,165,685,833,089,401,856
  5. Step 5: Solve for x
    x = 4,165,685,833,089,401,856/929,812,640
  6. Step 6: Final answer
    x = 4,480,134,657.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.