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Finding the Third Proportional to 959,849,967.25 and 1,433,485,135.50

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Solution

The third proportional to 959,849,967.25 and 1,433,485,135.50 is: 2,140,834,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,849,967.25 : 1,433,485,135.50 = 1,433,485,135.50 : x
  2. Step 2: Convert to fraction form
    959,849,967.25/1,433,485,135.50 = 1,433,485,135.50/x
  3. Step 3: Cross multiply
    959,849,967.25x = 1,433,485,135.50 × 1,433,485,135.50
  4. Step 4: Simplify right side
    959,849,967.25x = 2,054,879,633,699,453,440
  5. Step 5: Solve for x
    x = 2,054,879,633,699,453,440/959,849,967.25
  6. Step 6: Final answer
    x = 2,140,834,196.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.