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Finding the Third Proportional to 6,875,885,072 and 14,731,980,192

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Solution

The third proportional to 6,875,885,072 and 14,731,980,192 is: 31,564,116,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,885,072 : 14,731,980,192 = 14,731,980,192 : x
  2. Step 2: Convert to fraction form
    6,875,885,072/14,731,980,192 = 14,731,980,192/x
  3. Step 3: Cross multiply
    6,875,885,072x = 14,731,980,192 × 14,731,980,192
  4. Step 4: Simplify right side
    6,875,885,072x = 217,031,240,377,480,347,648
  5. Step 5: Solve for x
    x = 217,031,240,377,480,347,648/6,875,885,072
  6. Step 6: Final answer
    x = 31,564,116,925.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.