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Finding the Third Proportional to 30,111,519,488 and 45,555,188,440

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Solution

The third proportional to 30,111,519,488 and 45,555,188,440 is: 68,919,643,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,111,519,488 : 45,555,188,440 = 45,555,188,440 : x
  2. Step 2: Convert to fraction form
    30,111,519,488/45,555,188,440 = 45,555,188,440/x
  3. Step 3: Cross multiply
    30,111,519,488x = 45,555,188,440 × 45,555,188,440
  4. Step 4: Simplify right side
    30,111,519,488x = 2,075,275,193,803,909,627,904
  5. Step 5: Solve for x
    x = 2,075,275,193,803,909,627,904/30,111,519,488
  6. Step 6: Final answer
    x = 68,919,643,680.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.