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Finding the Third Proportional to 40,546,284 and 83,966,943

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Solution

The third proportional to 40,546,284 and 83,966,943 is: 173,886,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,546,284 : 83,966,943 = 83,966,943 : x
  2. Step 2: Convert to fraction form
    40,546,284/83,966,943 = 83,966,943/x
  3. Step 3: Cross multiply
    40,546,284x = 83,966,943 × 83,966,943
  4. Step 4: Simplify right side
    40,546,284x = 7,050,447,516,765,249
  5. Step 5: Solve for x
    x = 7,050,447,516,765,249/40,546,284
  6. Step 6: Final answer
    x = 173,886,403.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.