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Finding the Third Proportional to 364,362,597.84 and 786,784,693.78

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Solution

The third proportional to 364,362,597.84 and 786,784,693.78 is: 1,698,939,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,362,597.84 : 786,784,693.78 = 786,784,693.78 : x
  2. Step 2: Convert to fraction form
    364,362,597.84/786,784,693.78 = 786,784,693.78/x
  3. Step 3: Cross multiply
    364,362,597.84x = 786,784,693.78 × 786,784,693.78
  4. Step 4: Simplify right side
    364,362,597.84x = 619,030,154,368,455,296
  5. Step 5: Solve for x
    x = 619,030,154,368,455,296/364,362,597.84
  6. Step 6: Final answer
    x = 1,698,939,896.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.