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Finding the Third Proportional to 6,322,697,243,559 and 8,530,803,116,352

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Solution

The third proportional to 6,322,697,243,559 and 8,530,803,116,352 is: 11,510,056,389,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322,697,243,559 : 8,530,803,116,352 = 8,530,803,116,352 : x
  2. Step 2: Convert to fraction form
    6,322,697,243,559/8,530,803,116,352 = 8,530,803,116,352/x
  3. Step 3: Cross multiply
    6,322,697,243,559x = 8,530,803,116,352 × 8,530,803,116,352
  4. Step 4: Simplify right side
    6,322,697,243,559x = 72,774,601,809,960,994,355,544,064
  5. Step 5: Solve for x
    x = 72,774,601,809,960,994,355,544,064/6,322,697,243,559
  6. Step 6: Final answer
    x = 11,510,056,389,952.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.