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Finding the Third Proportional to 479,364,798 and 1,031,537,013

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Solution

The third proportional to 479,364,798 and 1,031,537,013 is: 2,219,747,077.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,364,798 : 1,031,537,013 = 1,031,537,013 : x
  2. Step 2: Convert to fraction form
    479,364,798/1,031,537,013 = 1,031,537,013/x
  3. Step 3: Cross multiply
    479,364,798x = 1,031,537,013 × 1,031,537,013
  4. Step 4: Simplify right side
    479,364,798x = 1,064,068,609,188,962,176
  5. Step 5: Solve for x
    x = 1,064,068,609,188,962,176/479,364,798
  6. Step 6: Final answer
    x = 2,219,747,077.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.