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Finding the Third Proportional to 53,177,878,362 and 115,180,354,212

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Solution

The third proportional to 53,177,878,362 and 115,180,354,212 is: 249,474,300,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,177,878,362 : 115,180,354,212 = 115,180,354,212 : x
  2. Step 2: Convert to fraction form
    53,177,878,362/115,180,354,212 = 115,180,354,212/x
  3. Step 3: Cross multiply
    53,177,878,362x = 115,180,354,212 × 115,180,354,212
  4. Step 4: Simplify right side
    53,177,878,362x = 13,266,513,996,401,787,011,072
  5. Step 5: Solve for x
    x = 13,266,513,996,401,787,011,072/53,177,878,362
  6. Step 6: Final answer
    x = 249,474,300,311.35

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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.