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Finding the Third Proportional to 639,214,989,130 and 1,390,957,594,537

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Solution

The third proportional to 639,214,989,130 and 1,390,957,594,537 is: 3,026,779,820,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,214,989,130 : 1,390,957,594,537 = 1,390,957,594,537 : x
  2. Step 2: Convert to fraction form
    639,214,989,130/1,390,957,594,537 = 1,390,957,594,537/x
  3. Step 3: Cross multiply
    639,214,989,130x = 1,390,957,594,537 × 1,390,957,594,537
  4. Step 4: Simplify right side
    639,214,989,130x = 1,934,763,029,800,157,267,886,080
  5. Step 5: Solve for x
    x = 1,934,763,029,800,157,267,886,080/639,214,989,130
  6. Step 6: Final answer
    x = 3,026,779,820,093.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.