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Finding the Third Proportional to 30,957,497.58 and 66,762,473.06

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Solution

The third proportional to 30,957,497.58 and 66,762,473.06 is: 143,978,943.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957,497.58 : 66,762,473.06 = 66,762,473.06 : x
  2. Step 2: Convert to fraction form
    30,957,497.58/66,762,473.06 = 66,762,473.06/x
  3. Step 3: Cross multiply
    30,957,497.58x = 66,762,473.06 × 66,762,473.06
  4. Step 4: Simplify right side
    30,957,497.58x = 4,457,227,809,421,038
  5. Step 5: Solve for x
    x = 4,457,227,809,421,038/30,957,497.58
  6. Step 6: Final answer
    x = 143,978,943.98

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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.