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Finding the Third Proportional to 1,830,712,969.69 and 3,973,515,076.69

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Solution

The third proportional to 1,830,712,969.69 and 3,973,515,076.69 is: 8,624,411,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,712,969.69 : 3,973,515,076.69 = 3,973,515,076.69 : x
  2. Step 2: Convert to fraction form
    1,830,712,969.69/3,973,515,076.69 = 3,973,515,076.69/x
  3. Step 3: Cross multiply
    1,830,712,969.69x = 3,973,515,076.69 × 3,973,515,076.69
  4. Step 4: Simplify right side
    1,830,712,969.69x = 15,788,822,064,662,870,016
  5. Step 5: Solve for x
    x = 15,788,822,064,662,870,016/1,830,712,969.69
  6. Step 6: Final answer
    x = 8,624,411,541.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.