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Finding the Third Proportional to 175,296,126,999 and 382,866,528,120

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Solution

The third proportional to 175,296,126,999 and 382,866,528,120 is: 836,223,713,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,296,126,999 : 382,866,528,120 = 382,866,528,120 : x
  2. Step 2: Convert to fraction form
    175,296,126,999/382,866,528,120 = 382,866,528,120/x
  3. Step 3: Cross multiply
    175,296,126,999x = 382,866,528,120 × 382,866,528,120
  4. Step 4: Simplify right side
    175,296,126,999x = 146,586,778,354,662,756,057,088
  5. Step 5: Solve for x
    x = 146,586,778,354,662,756,057,088/175,296,126,999
  6. Step 6: Final answer
    x = 836,223,713,918.67

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