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Finding the Third Proportional to 407,442,962 and 882,573,950

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Solution

The third proportional to 407,442,962 and 882,573,950 is: 1,911,768,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,442,962 : 882,573,950 = 882,573,950 : x
  2. Step 2: Convert to fraction form
    407,442,962/882,573,950 = 882,573,950/x
  3. Step 3: Cross multiply
    407,442,962x = 882,573,950 × 882,573,950
  4. Step 4: Simplify right side
    407,442,962x = 778,936,777,218,602,496
  5. Step 5: Solve for x
    x = 778,936,777,218,602,496/407,442,962
  6. Step 6: Final answer
    x = 1,911,768,885.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.