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Finding the Third Proportional to 30,335,964 and 65,520,202.50

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Solution

The third proportional to 30,335,964 and 65,520,202.50 is: 141,511,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335,964 : 65,520,202.50 = 65,520,202.50 : x
  2. Step 2: Convert to fraction form
    30,335,964/65,520,202.50 = 65,520,202.50/x
  3. Step 3: Cross multiply
    30,335,964x = 65,520,202.50 × 65,520,202.50
  4. Step 4: Simplify right side
    30,335,964x = 4,292,896,935,641,006
  5. Step 5: Solve for x
    x = 4,292,896,935,641,006/30,335,964
  6. Step 6: Final answer
    x = 141,511,802.15

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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.