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Finding the Third Proportional to 1,911,312,699,980 and 4,095,248,055,921

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Solution

The third proportional to 1,911,312,699,980 and 4,095,248,055,921 is: 8,774,627,322,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911,312,699,980 : 4,095,248,055,921 = 4,095,248,055,921 : x
  2. Step 2: Convert to fraction form
    1,911,312,699,980/4,095,248,055,921 = 4,095,248,055,921/x
  3. Step 3: Cross multiply
    1,911,312,699,980x = 4,095,248,055,921 × 4,095,248,055,921
  4. Step 4: Simplify right side
    1,911,312,699,980x = 16,771,056,639,524,729,220,235,264
  5. Step 5: Solve for x
    x = 16,771,056,639,524,729,220,235,264/1,911,312,699,980
  6. Step 6: Final answer
    x = 8,774,627,322,729.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.