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Finding the Third Proportional to 470,559,075 and 711,890,631

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Solution

The third proportional to 470,559,075 and 711,890,631 is: 1,076,991,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,559,075 : 711,890,631 = 711,890,631 : x
  2. Step 2: Convert to fraction form
    470,559,075/711,890,631 = 711,890,631/x
  3. Step 3: Cross multiply
    470,559,075x = 711,890,631 × 711,890,631
  4. Step 4: Simplify right side
    470,559,075x = 506,788,270,505,578,176
  5. Step 5: Solve for x
    x = 506,788,270,505,578,176/470,559,075
  6. Step 6: Final answer
    x = 1,076,991,811.30

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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.