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Finding the Third Proportional to 30,194,939,906 and 45,030,562,810

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Solution

The third proportional to 30,194,939,906 and 45,030,562,810 is: 67,155,344,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194,939,906 : 45,030,562,810 = 45,030,562,810 : x
  2. Step 2: Convert to fraction form
    30,194,939,906/45,030,562,810 = 45,030,562,810/x
  3. Step 3: Cross multiply
    30,194,939,906x = 45,030,562,810 × 45,030,562,810
  4. Step 4: Simplify right side
    30,194,939,906x = 2,027,751,586,985,354,985,472
  5. Step 5: Solve for x
    x = 2,027,751,586,985,354,985,472/30,194,939,906
  6. Step 6: Final answer
    x = 67,155,344,349.02

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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.