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Finding the Third Proportional to 698,447,053 and 1,520,897,007

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Solution

The third proportional to 698,447,053 and 1,520,897,007 is: 3,311,815,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,447,053 : 1,520,897,007 = 1,520,897,007 : x
  2. Step 2: Convert to fraction form
    698,447,053/1,520,897,007 = 1,520,897,007/x
  3. Step 3: Cross multiply
    698,447,053x = 1,520,897,007 × 1,520,897,007
  4. Step 4: Simplify right side
    698,447,053x = 2,313,127,705,901,558,272
  5. Step 5: Solve for x
    x = 2,313,127,705,901,558,272/698,447,053
  6. Step 6: Final answer
    x = 3,311,815,399.56

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Why These Related Problems?

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