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Finding the Third Proportional to 509,772,417.75 and 1,097,984,270.25

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Solution

The third proportional to 509,772,417.75 and 1,097,984,270.25 is: 2,364,917,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,772,417.75 : 1,097,984,270.25 = 1,097,984,270.25 : x
  2. Step 2: Convert to fraction form
    509,772,417.75/1,097,984,270.25 = 1,097,984,270.25/x
  3. Step 3: Cross multiply
    509,772,417.75x = 1,097,984,270.25 × 1,097,984,270.25
  4. Step 4: Simplify right side
    509,772,417.75x = 1,205,569,457,716,424,960
  5. Step 5: Solve for x
    x = 1,205,569,457,716,424,960/509,772,417.75
  6. Step 6: Final answer
    x = 2,364,917,001.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.