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Finding the Third Proportional to 94,720,838,945 and 210,619,761,730

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Solution

The third proportional to 94,720,838,945 and 210,619,761,730 is: 468,330,776,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,720,838,945 : 210,619,761,730 = 210,619,761,730 : x
  2. Step 2: Convert to fraction form
    94,720,838,945/210,619,761,730 = 210,619,761,730/x
  3. Step 3: Cross multiply
    94,720,838,945x = 210,619,761,730 × 210,619,761,730
  4. Step 4: Simplify right side
    94,720,838,945x = 44,360,684,031,201,972,846,592
  5. Step 5: Solve for x
    x = 44,360,684,031,201,972,846,592/94,720,838,945
  6. Step 6: Final answer
    x = 468,330,776,260.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.