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Finding the Third Proportional to 14,547,640 and 21,821,460

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Solution

The third proportional to 14,547,640 and 21,821,460 is: 32,732,190

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547,640 : 21,821,460 = 21,821,460 : x
  2. Step 2: Convert to fraction form
    14,547,640/21,821,460 = 21,821,460/x
  3. Step 3: Cross multiply
    14,547,640x = 21,821,460 × 21,821,460
  4. Step 4: Simplify right side
    14,547,640x = 476,176,116,531,600
  5. Step 5: Solve for x
    x = 476,176,116,531,600/14,547,640
  6. Step 6: Final answer
    x = 32,732,190

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.