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Finding the Third Proportional to 30,666,988 and 45,518,965

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Solution

The third proportional to 30,666,988 and 45,518,965 is: 67,563,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666,988 : 45,518,965 = 45,518,965 : x
  2. Step 2: Convert to fraction form
    30,666,988/45,518,965 = 45,518,965/x
  3. Step 3: Cross multiply
    30,666,988x = 45,518,965 × 45,518,965
  4. Step 4: Simplify right side
    30,666,988x = 2,071,976,174,671,225
  5. Step 5: Solve for x
    x = 2,071,976,174,671,225/30,666,988
  6. Step 6: Final answer
    x = 67,563,732.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.