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Finding the Third Proportional to 21,547,944 and 46,514,412

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Solution

The third proportional to 21,547,944 and 46,514,412 is: 100,408,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547,944 : 46,514,412 = 46,514,412 : x
  2. Step 2: Convert to fraction form
    21,547,944/46,514,412 = 46,514,412/x
  3. Step 3: Cross multiply
    21,547,944x = 46,514,412 × 46,514,412
  4. Step 4: Simplify right side
    21,547,944x = 2,163,590,523,705,744
  5. Step 5: Solve for x
    x = 2,163,590,523,705,744/21,547,944
  6. Step 6: Final answer
    x = 100,408,211.74

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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.