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Finding the Third Proportional to 14,991,142,289,580 and 32,643,654,137,820

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Solution

The third proportional to 14,991,142,289,580 and 32,643,654,137,820 is: 71,082,518,922,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,991,142,289,580 : 32,643,654,137,820 = 32,643,654,137,820 : x
  2. Step 2: Convert to fraction form
    14,991,142,289,580/32,643,654,137,820 = 32,643,654,137,820/x
  3. Step 3: Cross multiply
    14,991,142,289,580x = 32,643,654,137,820 × 32,643,654,137,820
  4. Step 4: Simplify right side
    14,991,142,289,580x = 1,065,608,155,469,612,781,267,845,120
  5. Step 5: Solve for x
    x = 1,065,608,155,469,612,781,267,845,120/14,991,142,289,580
  6. Step 6: Final answer
    x = 71,082,518,922,543.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.