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Finding the Third Proportional to 8,739,697,994 and 12,777,744,015

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Solution

The third proportional to 8,739,697,994 and 12,777,744,015 is: 18,681,508,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739,697,994 : 12,777,744,015 = 12,777,744,015 : x
  2. Step 2: Convert to fraction form
    8,739,697,994/12,777,744,015 = 12,777,744,015/x
  3. Step 3: Cross multiply
    8,739,697,994x = 12,777,744,015 × 12,777,744,015
  4. Step 4: Simplify right side
    8,739,697,994x = 163,270,742,112,868,335,616
  5. Step 5: Solve for x
    x = 163,270,742,112,868,335,616/8,739,697,994
  6. Step 6: Final answer
    x = 18,681,508,471.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.