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Finding the Third Proportional to 319,899,803,280 and 666,277,524,960

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Solution

The third proportional to 319,899,803,280 and 666,277,524,960 is: 1,387,702,448,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,899,803,280 : 666,277,524,960 = 666,277,524,960 : x
  2. Step 2: Convert to fraction form
    319,899,803,280/666,277,524,960 = 666,277,524,960/x
  3. Step 3: Cross multiply
    319,899,803,280x = 666,277,524,960 × 666,277,524,960
  4. Step 4: Simplify right side
    319,899,803,280x = 443,925,740,266,823,417,331,712
  5. Step 5: Solve for x
    x = 443,925,740,266,823,417,331,712/319,899,803,280
  6. Step 6: Final answer
    x = 1,387,702,448,439.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.