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Finding the Third Proportional to 460,346,006 and 986,354,500

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Solution

The third proportional to 460,346,006 and 986,354,500 is: 2,113,399,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,346,006 : 986,354,500 = 986,354,500 : x
  2. Step 2: Convert to fraction form
    460,346,006/986,354,500 = 986,354,500/x
  3. Step 3: Cross multiply
    460,346,006x = 986,354,500 × 986,354,500
  4. Step 4: Simplify right side
    460,346,006x = 972,895,199,670,249,984
  5. Step 5: Solve for x
    x = 972,895,199,670,249,984/460,346,006
  6. Step 6: Final answer
    x = 2,113,399,892.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.