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Finding the Third Proportional to 306,880,056 and 657,290,160

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Solution

The third proportional to 306,880,056 and 657,290,160 is: 1,407,815,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,880,056 : 657,290,160 = 657,290,160 : x
  2. Step 2: Convert to fraction form
    306,880,056/657,290,160 = 657,290,160/x
  3. Step 3: Cross multiply
    306,880,056x = 657,290,160 × 657,290,160
  4. Step 4: Simplify right side
    306,880,056x = 432,030,354,432,825,600
  5. Step 5: Solve for x
    x = 432,030,354,432,825,600/306,880,056
  6. Step 6: Final answer
    x = 1,407,815,027.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.