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Finding the Third Proportional to 698,447,070 and 1,520,897,038

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Solution

The third proportional to 698,447,070 and 1,520,897,038 is: 3,311,815,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,447,070 : 1,520,897,038 = 1,520,897,038 : x
  2. Step 2: Convert to fraction form
    698,447,070/1,520,897,038 = 1,520,897,038/x
  3. Step 3: Cross multiply
    698,447,070x = 1,520,897,038 × 1,520,897,038
  4. Step 4: Simplify right side
    698,447,070x = 2,313,127,800,197,173,248
  5. Step 5: Solve for x
    x = 2,313,127,800,197,173,248/698,447,070
  6. Step 6: Final answer
    x = 3,311,815,453.96

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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.