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Finding the Third Proportional to 294,447,582 and 619,355,700

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Solution

The third proportional to 294,447,582 and 619,355,700 is: 1,302,783,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,447,582 : 619,355,700 = 619,355,700 : x
  2. Step 2: Convert to fraction form
    294,447,582/619,355,700 = 619,355,700/x
  3. Step 3: Cross multiply
    294,447,582x = 619,355,700 × 619,355,700
  4. Step 4: Simplify right side
    294,447,582x = 383,601,483,122,489,984
  5. Step 5: Solve for x
    x = 383,601,483,122,489,984/294,447,582
  6. Step 6: Final answer
    x = 1,302,783,607.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.