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Finding the Third Proportional to 30,194,939,901 and 45,030,562,803

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Solution

The third proportional to 30,194,939,901 and 45,030,562,803 is: 67,155,344,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194,939,901 : 45,030,562,803 = 45,030,562,803 : x
  2. Step 2: Convert to fraction form
    30,194,939,901/45,030,562,803 = 45,030,562,803/x
  3. Step 3: Cross multiply
    30,194,939,901x = 45,030,562,803 × 45,030,562,803
  4. Step 4: Simplify right side
    30,194,939,901x = 2,027,751,586,354,927,239,168
  5. Step 5: Solve for x
    x = 2,027,751,586,354,927,239,168/30,194,939,901
  6. Step 6: Final answer
    x = 67,155,344,339.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.