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Finding the Third Proportional to 63,673,857,134 and 136,292,378,056

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Solution

The third proportional to 63,673,857,134 and 136,292,378,056 is: 291,730,596,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,673,857,134 : 136,292,378,056 = 136,292,378,056 : x
  2. Step 2: Convert to fraction form
    63,673,857,134/136,292,378,056 = 136,292,378,056/x
  3. Step 3: Cross multiply
    63,673,857,134x = 136,292,378,056 × 136,292,378,056
  4. Step 4: Simplify right side
    63,673,857,134x = 18,575,612,316,159,630,639,104
  5. Step 5: Solve for x
    x = 18,575,612,316,159,630,639,104/63,673,857,134
  6. Step 6: Final answer
    x = 291,730,596,390.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.