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Finding the Third Proportional to 21,049,965 and 45,348,354

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Solution

The third proportional to 21,049,965 and 45,348,354 is: 97,694,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049,965 : 45,348,354 = 45,348,354 : x
  2. Step 2: Convert to fraction form
    21,049,965/45,348,354 = 45,348,354/x
  3. Step 3: Cross multiply
    21,049,965x = 45,348,354 × 45,348,354
  4. Step 4: Simplify right side
    21,049,965x = 2,056,473,210,509,316
  5. Step 5: Solve for x
    x = 2,056,473,210,509,316/21,049,965
  6. Step 6: Final answer
    x = 97,694,851.77

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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.