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Finding the Third Proportional to 835,550,799,300 and 1,254,210,569,670

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Solution

The third proportional to 835,550,799,300 and 1,254,210,569,670 is: 1,882,643,346,628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,550,799,300 : 1,254,210,569,670 = 1,254,210,569,670 : x
  2. Step 2: Convert to fraction form
    835,550,799,300/1,254,210,569,670 = 1,254,210,569,670/x
  3. Step 3: Cross multiply
    835,550,799,300x = 1,254,210,569,670 × 1,254,210,569,670
  4. Step 4: Simplify right side
    835,550,799,300x = 1,573,044,153,071,945,853,698,048
  5. Step 5: Solve for x
    x = 1,573,044,153,071,945,853,698,048/835,550,799,300
  6. Step 6: Final answer
    x = 1,882,643,346,628.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.