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Finding the Third Proportional to 42,607,291,284 and 92,630,609,352

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Solution

The third proportional to 42,607,291,284 and 92,630,609,352 is: 201,384,071,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,607,291,284 : 92,630,609,352 = 92,630,609,352 : x
  2. Step 2: Convert to fraction form
    42,607,291,284/92,630,609,352 = 92,630,609,352/x
  3. Step 3: Cross multiply
    42,607,291,284x = 92,630,609,352 × 92,630,609,352
  4. Step 4: Simplify right side
    42,607,291,284x = 8,580,429,788,922,830,127,104
  5. Step 5: Solve for x
    x = 8,580,429,788,922,830,127,104/42,607,291,284
  6. Step 6: Final answer
    x = 201,384,071,372.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.