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Finding the Third Proportional to 310,678,173 and 669,776,526

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Solution

The third proportional to 310,678,173 and 669,776,526 is: 1,443,939,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,678,173 : 669,776,526 = 669,776,526 : x
  2. Step 2: Convert to fraction form
    310,678,173/669,776,526 = 669,776,526/x
  3. Step 3: Cross multiply
    310,678,173x = 669,776,526 × 669,776,526
  4. Step 4: Simplify right side
    310,678,173x = 448,600,594,780,628,672
  5. Step 5: Solve for x
    x = 448,600,594,780,628,672/310,678,173
  6. Step 6: Final answer
    x = 1,443,939,850.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.