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Finding the Third Proportional to 46,470,911 and 101,001,646

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Solution

The third proportional to 46,470,911 and 101,001,646 is: 219,520,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,470,911 : 101,001,646 = 101,001,646 : x
  2. Step 2: Convert to fraction form
    46,470,911/101,001,646 = 101,001,646/x
  3. Step 3: Cross multiply
    46,470,911x = 101,001,646 × 101,001,646
  4. Step 4: Simplify right side
    46,470,911x = 10,201,332,494,709,316
  5. Step 5: Solve for x
    x = 10,201,332,494,709,316/46,470,911
  6. Step 6: Final answer
    x = 219,520,820.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.