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Finding the Third Proportional to 470,559,104 and 711,890,668

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Solution

The third proportional to 470,559,104 and 711,890,668 is: 1,076,991,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,559,104 : 711,890,668 = 711,890,668 : x
  2. Step 2: Convert to fraction form
    470,559,104/711,890,668 = 711,890,668/x
  3. Step 3: Cross multiply
    470,559,104x = 711,890,668 × 711,890,668
  4. Step 4: Simplify right side
    470,559,104x = 506,788,323,185,486,208
  5. Step 5: Solve for x
    x = 506,788,323,185,486,208/470,559,104
  6. Step 6: Final answer
    x = 1,076,991,856.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.