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Finding the Third Proportional to 63,673,857,128 and 136,292,378,044

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Solution

The third proportional to 63,673,857,128 and 136,292,378,044 is: 291,730,596,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,673,857,128 : 136,292,378,044 = 136,292,378,044 : x
  2. Step 2: Convert to fraction form
    63,673,857,128/136,292,378,044 = 136,292,378,044/x
  3. Step 3: Cross multiply
    63,673,857,128x = 136,292,378,044 × 136,292,378,044
  4. Step 4: Simplify right side
    63,673,857,128x = 18,575,612,312,888,612,487,168
  5. Step 5: Solve for x
    x = 18,575,612,312,888,612,487,168/63,673,857,128
  6. Step 6: Final answer
    x = 291,730,596,366.22

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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.