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Finding the Third Proportional to 438,573,006 and 975,182,904

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Solution

The third proportional to 438,573,006 and 975,182,904 is: 2,168,354,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,573,006 : 975,182,904 = 975,182,904 : x
  2. Step 2: Convert to fraction form
    438,573,006/975,182,904 = 975,182,904/x
  3. Step 3: Cross multiply
    438,573,006x = 975,182,904 × 975,182,904
  4. Step 4: Simplify right side
    438,573,006x = 950,981,696,253,873,152
  5. Step 5: Solve for x
    x = 950,981,696,253,873,152/438,573,006
  6. Step 6: Final answer
    x = 2,168,354,374.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.