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Finding the Third Proportional to 44,630,435,600 and 97,105,795,288

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Solution

The third proportional to 44,630,435,600 and 97,105,795,288 is: 211,280,381,913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,630,435,600 : 97,105,795,288 = 97,105,795,288 : x
  2. Step 2: Convert to fraction form
    44,630,435,600/97,105,795,288 = 97,105,795,288/x
  3. Step 3: Cross multiply
    44,630,435,600x = 97,105,795,288 × 97,105,795,288
  4. Step 4: Simplify right side
    44,630,435,600x = 9,429,535,478,514,963,185,664
  5. Step 5: Solve for x
    x = 9,429,535,478,514,963,185,664/44,630,435,600
  6. Step 6: Final answer
    x = 211,280,381,913.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.