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Finding the Third Proportional to 3,021,419,953.50 and 6,502,005,066

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Solution

The third proportional to 3,021,419,953.50 and 6,502,005,066 is: 13,992,119,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021,419,953.50 : 6,502,005,066 = 6,502,005,066 : x
  2. Step 2: Convert to fraction form
    3,021,419,953.50/6,502,005,066 = 6,502,005,066/x
  3. Step 3: Cross multiply
    3,021,419,953.50x = 6,502,005,066 × 6,502,005,066
  4. Step 4: Simplify right side
    3,021,419,953.50x = 42,276,069,878,289,661,952
  5. Step 5: Solve for x
    x = 42,276,069,878,289,661,952/3,021,419,953.50
  6. Step 6: Final answer
    x = 13,992,119,774.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.