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Finding the Third Proportional to 56,147,140,735 and 124,847,980,771

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Solution

The third proportional to 56,147,140,735 and 124,847,980,771 is: 277,610,188,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,147,140,735 : 124,847,980,771 = 124,847,980,771 : x
  2. Step 2: Convert to fraction form
    56,147,140,735/124,847,980,771 = 124,847,980,771/x
  3. Step 3: Cross multiply
    56,147,140,735x = 124,847,980,771 × 124,847,980,771
  4. Step 4: Simplify right side
    56,147,140,735x = 15,587,018,302,595,985,833,984
  5. Step 5: Solve for x
    x = 15,587,018,302,595,985,833,984/56,147,140,735
  6. Step 6: Final answer
    x = 277,610,188,133.40

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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.