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Finding the Third Proportional to 1,470,630,901 and 3,173,666,273

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Solution

The third proportional to 1,470,630,901 and 3,173,666,273 is: 6,848,868,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470,630,901 : 3,173,666,273 = 3,173,666,273 : x
  2. Step 2: Convert to fraction form
    1,470,630,901/3,173,666,273 = 3,173,666,273/x
  3. Step 3: Cross multiply
    1,470,630,901x = 3,173,666,273 × 3,173,666,273
  4. Step 4: Simplify right side
    1,470,630,901x = 10,072,157,612,377,710,592
  5. Step 5: Solve for x
    x = 10,072,157,612,377,710,592/1,470,630,901
  6. Step 6: Final answer
    x = 6,848,868,472.39

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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.