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Finding the Third Proportional to 658,166,336 and 963,021,896

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Solution

The third proportional to 658,166,336 and 963,021,896 is: 1,409,083,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,166,336 : 963,021,896 = 963,021,896 : x
  2. Step 2: Convert to fraction form
    658,166,336/963,021,896 = 963,021,896/x
  3. Step 3: Cross multiply
    658,166,336x = 963,021,896 × 963,021,896
  4. Step 4: Simplify right side
    658,166,336x = 927,411,172,175,434,752
  5. Step 5: Solve for x
    x = 927,411,172,175,434,752/658,166,336
  6. Step 6: Final answer
    x = 1,409,083,268.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.