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Finding the Third Proportional to 4,775,349,178 and 10,276,292,468

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Solution

The third proportional to 4,775,349,178 and 10,276,292,468 is: 22,114,024,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775,349,178 : 10,276,292,468 = 10,276,292,468 : x
  2. Step 2: Convert to fraction form
    4,775,349,178/10,276,292,468 = 10,276,292,468/x
  3. Step 3: Cross multiply
    4,775,349,178x = 10,276,292,468 × 10,276,292,468
  4. Step 4: Simplify right side
    4,775,349,178x = 105,602,186,887,873,527,808
  5. Step 5: Solve for x
    x = 105,602,186,887,873,527,808/4,775,349,178
  6. Step 6: Final answer
    x = 22,114,024,116.68

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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.