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Finding the Third Proportional to 30,450,616.50 and 71,860,360.50

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Solution

The third proportional to 30,450,616.50 and 71,860,360.50 is: 169,583,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,450,616.50 : 71,860,360.50 = 71,860,360.50 : x
  2. Step 2: Convert to fraction form
    30,450,616.50/71,860,360.50 = 71,860,360.50/x
  3. Step 3: Cross multiply
    30,450,616.50x = 71,860,360.50 × 71,860,360.50
  4. Step 4: Simplify right side
    30,450,616.50x = 5,163,911,411,189,960
  5. Step 5: Solve for x
    x = 5,163,911,411,189,960/30,450,616.50
  6. Step 6: Final answer
    x = 169,583,148.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.