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Finding the Third Proportional to 1,010,648,525,798 and 2,247,263,639,032

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Solution

The third proportional to 1,010,648,525,798 and 2,247,263,639,032 is: 4,996,983,357,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,648,525,798 : 2,247,263,639,032 = 2,247,263,639,032 : x
  2. Step 2: Convert to fraction form
    1,010,648,525,798/2,247,263,639,032 = 2,247,263,639,032/x
  3. Step 3: Cross multiply
    1,010,648,525,798x = 2,247,263,639,032 × 2,247,263,639,032
  4. Step 4: Simplify right side
    1,010,648,525,798x = 5,050,193,863,315,347,038,273,536
  5. Step 5: Solve for x
    x = 5,050,193,863,315,347,038,273,536/1,010,648,525,798
  6. Step 6: Final answer
    x = 4,996,983,357,124.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.