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Finding the Third Proportional to 21,547,948.50 and 46,514,421

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Solution

The third proportional to 21,547,948.50 and 46,514,421 is: 100,408,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547,948.50 : 46,514,421 = 46,514,421 : x
  2. Step 2: Convert to fraction form
    21,547,948.50/46,514,421 = 46,514,421/x
  3. Step 3: Cross multiply
    21,547,948.50x = 46,514,421 × 46,514,421
  4. Step 4: Simplify right side
    21,547,948.50x = 2,163,591,360,965,241
  5. Step 5: Solve for x
    x = 2,163,591,360,965,241/21,547,948.50
  6. Step 6: Final answer
    x = 100,408,229.63

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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.