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Finding the Third Proportional to 651,642,125,256 and 1,402,875,452,160

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Solution

The third proportional to 651,642,125,256 and 1,402,875,452,160 is: 3,020,153,943,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,642,125,256 : 1,402,875,452,160 = 1,402,875,452,160 : x
  2. Step 2: Convert to fraction form
    651,642,125,256/1,402,875,452,160 = 1,402,875,452,160/x
  3. Step 3: Cross multiply
    651,642,125,256x = 1,402,875,452,160 × 1,402,875,452,160
  4. Step 4: Simplify right side
    651,642,125,256x = 1,968,059,534,273,124,350,558,208
  5. Step 5: Solve for x
    x = 1,968,059,534,273,124,350,558,208/651,642,125,256
  6. Step 6: Final answer
    x = 3,020,153,943,393.34

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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.