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Finding the Third Proportional to 46,026,688 and 99,226,684

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Solution

The third proportional to 46,026,688 and 99,226,684 is: 213,917,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,026,688 : 99,226,684 = 99,226,684 : x
  2. Step 2: Convert to fraction form
    46,026,688/99,226,684 = 99,226,684/x
  3. Step 3: Cross multiply
    46,026,688x = 99,226,684 × 99,226,684
  4. Step 4: Simplify right side
    46,026,688x = 9,845,934,817,635,856
  5. Step 5: Solve for x
    x = 9,845,934,817,635,856/46,026,688
  6. Step 6: Final answer
    x = 213,917,951.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.