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Finding the Third Proportional to 3,729,549,072,528 and 8,115,825,533,844

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Solution

The third proportional to 3,729,549,072,528 and 8,115,825,533,844 is: 17,660,747,402,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729,549,072,528 : 8,115,825,533,844 = 8,115,825,533,844 : x
  2. Step 2: Convert to fraction form
    3,729,549,072,528/8,115,825,533,844 = 8,115,825,533,844/x
  3. Step 3: Cross multiply
    3,729,549,072,528x = 8,115,825,533,844 × 8,115,825,533,844
  4. Step 4: Simplify right side
    3,729,549,072,528x = 65,866,624,095,794,250,523,869,184
  5. Step 5: Solve for x
    x = 65,866,624,095,794,250,523,869,184/3,729,549,072,528
  6. Step 6: Final answer
    x = 17,660,747,402,674.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.