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Finding the Third Proportional to 30,482,860 and 65,751,776

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Solution

The third proportional to 30,482,860 and 65,751,776 is: 141,827,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482,860 : 65,751,776 = 65,751,776 : x
  2. Step 2: Convert to fraction form
    30,482,860/65,751,776 = 65,751,776/x
  3. Step 3: Cross multiply
    30,482,860x = 65,751,776 × 65,751,776
  4. Step 4: Simplify right side
    30,482,860x = 4,323,296,047,154,176
  5. Step 5: Solve for x
    x = 4,323,296,047,154,176/30,482,860
  6. Step 6: Final answer
    x = 141,827,113.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.