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Finding the Third Proportional to 34,429,095.75 and 72,743,907.75

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Solution

The third proportional to 34,429,095.75 and 72,743,907.75 is: 153,697,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,429,095.75 : 72,743,907.75 = 72,743,907.75 : x
  2. Step 2: Convert to fraction form
    34,429,095.75/72,743,907.75 = 72,743,907.75/x
  3. Step 3: Cross multiply
    34,429,095.75x = 72,743,907.75 × 72,743,907.75
  4. Step 4: Simplify right side
    34,429,095.75x = 5,291,676,114,740,510
  5. Step 5: Solve for x
    x = 5,291,676,114,740,510/34,429,095.75
  6. Step 6: Final answer
    x = 153,697,795.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.