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Finding the Third Proportional to 959,849,943 and 1,433,485,101

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Solution

The third proportional to 959,849,943 and 1,433,485,101 is: 2,140,834,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,849,943 : 1,433,485,101 = 1,433,485,101 : x
  2. Step 2: Convert to fraction form
    959,849,943/1,433,485,101 = 1,433,485,101/x
  3. Step 3: Cross multiply
    959,849,943x = 1,433,485,101 × 1,433,485,101
  4. Step 4: Simplify right side
    959,849,943x = 2,054,879,534,788,980,224
  5. Step 5: Solve for x
    x = 2,054,879,534,788,980,224/959,849,943
  6. Step 6: Final answer
    x = 2,140,834,147.85

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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.