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Finding the Third Proportional to 30,864,776 and 45,444,444

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Solution

The third proportional to 30,864,776 and 45,444,444 is: 66,911,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,864,776 : 45,444,444 = 45,444,444 : x
  2. Step 2: Convert to fraction form
    30,864,776/45,444,444 = 45,444,444/x
  3. Step 3: Cross multiply
    30,864,776x = 45,444,444 × 45,444,444
  4. Step 4: Simplify right side
    30,864,776x = 2,065,197,490,469,136
  5. Step 5: Solve for x
    x = 2,065,197,490,469,136/30,864,776
  6. Step 6: Final answer
    x = 66,911,144.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.