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Finding the Third Proportional to 9,102,033,602,295 and 13,150,866,744,140

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Solution

The third proportional to 9,102,033,602,295 and 13,150,866,744,140 is: 19,000,731,449,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102,033,602,295 : 13,150,866,744,140 = 13,150,866,744,140 : x
  2. Step 2: Convert to fraction form
    9,102,033,602,295/13,150,866,744,140 = 13,150,866,744,140/x
  3. Step 3: Cross multiply
    9,102,033,602,295x = 13,150,866,744,140 × 13,150,866,744,140
  4. Step 4: Simplify right side
    9,102,033,602,295x = 172,945,296,122,127,410,022,842,368
  5. Step 5: Solve for x
    x = 172,945,296,122,127,410,022,842,368/9,102,033,602,295
  6. Step 6: Final answer
    x = 19,000,731,449,565.38

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.