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Finding the Third Proportional to 470,559,096 and 711,890,662.50

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Solution

The third proportional to 470,559,096 and 711,890,662.50 is: 1,076,991,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,559,096 : 711,890,662.50 = 711,890,662.50 : x
  2. Step 2: Convert to fraction form
    470,559,096/711,890,662.50 = 711,890,662.50/x
  3. Step 3: Cross multiply
    470,559,096x = 711,890,662.50 × 711,890,662.50
  4. Step 4: Simplify right side
    470,559,096x = 506,788,315,354,688,896
  5. Step 5: Solve for x
    x = 506,788,315,354,688,896/470,559,096
  6. Step 6: Final answer
    x = 1,076,991,858.54

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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.