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Finding the Third Proportional to 284,355,382,584 and 592,246,692,960

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Solution

The third proportional to 284,355,382,584 and 592,246,692,960 is: 1,233,513,296,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,355,382,584 : 592,246,692,960 = 592,246,692,960 : x
  2. Step 2: Convert to fraction form
    284,355,382,584/592,246,692,960 = 592,246,692,960/x
  3. Step 3: Cross multiply
    284,355,382,584x = 592,246,692,960 × 592,246,692,960
  4. Step 4: Simplify right side
    284,355,382,584x = 350,756,145,322,056,537,341,952
  5. Step 5: Solve for x
    x = 350,756,145,322,056,537,341,952/284,355,382,584
  6. Step 6: Final answer
    x = 1,233,513,296,406.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.