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Finding the Third Proportional to 287,884,964 and 626,884,168

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Solution

The third proportional to 287,884,964 and 626,884,168 is: 1,365,072,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,884,964 : 626,884,168 = 626,884,168 : x
  2. Step 2: Convert to fraction form
    287,884,964/626,884,168 = 626,884,168/x
  3. Step 3: Cross multiply
    287,884,964x = 626,884,168 × 626,884,168
  4. Step 4: Simplify right side
    287,884,964x = 392,983,760,089,052,224
  5. Step 5: Solve for x
    x = 392,983,760,089,052,224/287,884,964
  6. Step 6: Final answer
    x = 1,365,072,196.30

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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.