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Finding the Third Proportional to 303,152,140 and 657,758,744

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Solution

The third proportional to 303,152,140 and 657,758,744 is: 1,427,159,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,152,140 : 657,758,744 = 657,758,744 : x
  2. Step 2: Convert to fraction form
    303,152,140/657,758,744 = 657,758,744/x
  3. Step 3: Cross multiply
    303,152,140x = 657,758,744 × 657,758,744
  4. Step 4: Simplify right side
    303,152,140x = 432,646,565,308,457,536
  5. Step 5: Solve for x
    x = 432,646,565,308,457,536/303,152,140
  6. Step 6: Final answer
    x = 1,427,159,858.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.