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Finding the Third Proportional to 1,365,886,864 and 2,938,935,692

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Solution

The third proportional to 1,365,886,864 and 2,938,935,692 is: 6,323,615,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,886,864 : 2,938,935,692 = 2,938,935,692 : x
  2. Step 2: Convert to fraction form
    1,365,886,864/2,938,935,692 = 2,938,935,692/x
  3. Step 3: Cross multiply
    1,365,886,864x = 2,938,935,692 × 2,938,935,692
  4. Step 4: Simplify right side
    1,365,886,864x = 8,637,343,001,711,518,720
  5. Step 5: Solve for x
    x = 8,637,343,001,711,518,720/1,365,886,864
  6. Step 6: Final answer
    x = 6,323,615,249.08

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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.