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Finding the Third Proportional to 977,032,804 and 2,107,116,296

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Solution

The third proportional to 977,032,804 and 2,107,116,296 is: 4,544,309,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,032,804 : 2,107,116,296 = 2,107,116,296 : x
  2. Step 2: Convert to fraction form
    977,032,804/2,107,116,296 = 2,107,116,296/x
  3. Step 3: Cross multiply
    977,032,804x = 2,107,116,296 × 2,107,116,296
  4. Step 4: Simplify right side
    977,032,804x = 4,439,939,084,868,759,552
  5. Step 5: Solve for x
    x = 4,439,939,084,868,759,552/977,032,804
  6. Step 6: Final answer
    x = 4,544,309,123.19

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Why These Related Problems?

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