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Finding the Third Proportional to 977,032,824 and 2,107,116,336

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Solution

The third proportional to 977,032,824 and 2,107,116,336 is: 4,544,309,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,032,824 : 2,107,116,336 = 2,107,116,336 : x
  2. Step 2: Convert to fraction form
    977,032,824/2,107,116,336 = 2,107,116,336/x
  3. Step 3: Cross multiply
    977,032,824x = 2,107,116,336 × 2,107,116,336
  4. Step 4: Simplify right side
    977,032,824x = 4,439,939,253,438,064,640
  5. Step 5: Solve for x
    x = 4,439,939,253,438,064,640/977,032,824
  6. Step 6: Final answer
    x = 4,544,309,202.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.