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Finding the Third Proportional to 30,666,986.44 and 45,518,962.50

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Solution

The third proportional to 30,666,986.44 and 45,518,962.50 is: 67,563,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666,986.44 : 45,518,962.50 = 45,518,962.50 : x
  2. Step 2: Convert to fraction form
    30,666,986.44/45,518,962.50 = 45,518,962.50/x
  3. Step 3: Cross multiply
    30,666,986.44x = 45,518,962.50 × 45,518,962.50
  4. Step 4: Simplify right side
    30,666,986.44x = 2,071,975,947,076,406.25
  5. Step 5: Solve for x
    x = 2,071,975,947,076,406.25/30,666,986.44
  6. Step 6: Final answer
    x = 67,563,728.55

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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.