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Finding the Third Proportional to 42,779,298 and 92,376,972

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Solution

The third proportional to 42,779,298 and 92,376,972 is: 199,477,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,779,298 : 92,376,972 = 92,376,972 : x
  2. Step 2: Convert to fraction form
    42,779,298/92,376,972 = 92,376,972/x
  3. Step 3: Cross multiply
    42,779,298x = 92,376,972 × 92,376,972
  4. Step 4: Simplify right side
    42,779,298x = 8,533,504,955,888,784
  5. Step 5: Solve for x
    x = 8,533,504,955,888,784/42,779,298
  6. Step 6: Final answer
    x = 199,477,442.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.