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Finding the Third Proportional to 611,164,030 and 1,323,859,904

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Solution

The third proportional to 611,164,030 and 1,323,859,904 is: 2,867,650,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,164,030 : 1,323,859,904 = 1,323,859,904 : x
  2. Step 2: Convert to fraction form
    611,164,030/1,323,859,904 = 1,323,859,904/x
  3. Step 3: Cross multiply
    611,164,030x = 1,323,859,904 × 1,323,859,904
  4. Step 4: Simplify right side
    611,164,030x = 1,752,605,045,418,889,216
  5. Step 5: Solve for x
    x = 1,752,605,045,418,889,216/611,164,030
  6. Step 6: Final answer
    x = 2,867,650,842.31

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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.