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Finding the Third Proportional to 10,984,748 and 23,922,328

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Solution

The third proportional to 10,984,748 and 23,922,328 is: 52,097,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984,748 : 23,922,328 = 23,922,328 : x
  2. Step 2: Convert to fraction form
    10,984,748/23,922,328 = 23,922,328/x
  3. Step 3: Cross multiply
    10,984,748x = 23,922,328 × 23,922,328
  4. Step 4: Simplify right side
    10,984,748x = 572,277,776,939,584
  5. Step 5: Solve for x
    x = 572,277,776,939,584/10,984,748
  6. Step 6: Final answer
    x = 52,097,487.98

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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.