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Finding the Third Proportional to 295,402,950 and 646,399,116

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Solution

The third proportional to 295,402,950 and 646,399,116 is: 1,414,447,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,402,950 : 646,399,116 = 646,399,116 : x
  2. Step 2: Convert to fraction form
    295,402,950/646,399,116 = 646,399,116/x
  3. Step 3: Cross multiply
    295,402,950x = 646,399,116 × 646,399,116
  4. Step 4: Simplify right side
    295,402,950x = 417,831,817,165,581,440
  5. Step 5: Solve for x
    x = 417,831,817,165,581,440/295,402,950
  6. Step 6: Final answer
    x = 1,414,447,002.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.