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Finding the Third Proportional to 287,884,971 and 626,884,182

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Solution

The third proportional to 287,884,971 and 626,884,182 is: 1,365,072,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,884,971 : 626,884,182 = 626,884,182 : x
  2. Step 2: Convert to fraction form
    287,884,971/626,884,182 = 626,884,182/x
  3. Step 3: Cross multiply
    287,884,971x = 626,884,182 × 626,884,182
  4. Step 4: Simplify right side
    287,884,971x = 392,983,777,641,809,152
  5. Step 5: Solve for x
    x = 392,983,777,641,809,152/287,884,971
  6. Step 6: Final answer
    x = 1,365,072,224.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.