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Finding the Third Proportional to 423,294,729 and 911,458,471

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Solution

The third proportional to 423,294,729 and 911,458,471 is: 1,962,596,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,294,729 : 911,458,471 = 911,458,471 : x
  2. Step 2: Convert to fraction form
    423,294,729/911,458,471 = 911,458,471/x
  3. Step 3: Cross multiply
    423,294,729x = 911,458,471 × 911,458,471
  4. Step 4: Simplify right side
    423,294,729x = 830,756,544,357,657,856
  5. Step 5: Solve for x
    x = 830,756,544,357,657,856/423,294,729
  6. Step 6: Final answer
    x = 1,962,596,005.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.