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Finding the Third Proportional to 463,708,861.50 and 1,000,057,014

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Solution

The third proportional to 463,708,861.50 and 1,000,057,014 is: 2,156,771,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,708,861.50 : 1,000,057,014 = 1,000,057,014 : x
  2. Step 2: Convert to fraction form
    463,708,861.50/1,000,057,014 = 1,000,057,014/x
  3. Step 3: Cross multiply
    463,708,861.50x = 1,000,057,014 × 1,000,057,014
  4. Step 4: Simplify right side
    463,708,861.50x = 1,000,114,031,250,596,224
  5. Step 5: Solve for x
    x = 1,000,114,031,250,596,224/463,708,861.50
  6. Step 6: Final answer
    x = 2,156,771,444.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.