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Finding the Third Proportional to 10,012,122 and 21,533,276

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Solution

The third proportional to 10,012,122 and 21,533,276 is: 46,312,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012,122 : 21,533,276 = 21,533,276 : x
  2. Step 2: Convert to fraction form
    10,012,122/21,533,276 = 21,533,276/x
  3. Step 3: Cross multiply
    10,012,122x = 21,533,276 × 21,533,276
  4. Step 4: Simplify right side
    10,012,122x = 463,681,975,292,176
  5. Step 5: Solve for x
    x = 463,681,975,292,176/10,012,122
  6. Step 6: Final answer
    x = 46,312,058.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.