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Finding the Third Proportional to 21,087,384 and 46,042,032

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Solution

The third proportional to 21,087,384 and 46,042,032 is: 100,527,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,087,384 : 46,042,032 = 46,042,032 : x
  2. Step 2: Convert to fraction form
    21,087,384/46,042,032 = 46,042,032/x
  3. Step 3: Cross multiply
    21,087,384x = 46,042,032 × 46,042,032
  4. Step 4: Simplify right side
    21,087,384x = 2,119,868,710,689,024
  5. Step 5: Solve for x
    x = 2,119,868,710,689,024/21,087,384
  6. Step 6: Final answer
    x = 100,527,818.47

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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.