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Finding the Third Proportional to 1,365,886,857 and 2,938,935,678

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Solution

The third proportional to 1,365,886,857 and 2,938,935,678 is: 6,323,615,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,886,857 : 2,938,935,678 = 2,938,935,678 : x
  2. Step 2: Convert to fraction form
    1,365,886,857/2,938,935,678 = 2,938,935,678/x
  3. Step 3: Cross multiply
    1,365,886,857x = 2,938,935,678 × 2,938,935,678
  4. Step 4: Simplify right side
    1,365,886,857x = 8,637,342,919,421,320,192
  5. Step 5: Solve for x
    x = 8,637,342,919,421,320,192/1,365,886,857
  6. Step 6: Final answer
    x = 6,323,615,221.24

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Why These Related Problems?

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