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Finding the Third Proportional to 5,696,852,867,712 and 7,686,392,108,492

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Solution

The third proportional to 5,696,852,867,712 and 7,686,392,108,492 is: 10,370,747,677,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696,852,867,712 : 7,686,392,108,492 = 7,686,392,108,492 : x
  2. Step 2: Convert to fraction form
    5,696,852,867,712/7,686,392,108,492 = 7,686,392,108,492/x
  3. Step 3: Cross multiply
    5,696,852,867,712x = 7,686,392,108,492 × 7,686,392,108,492
  4. Step 4: Simplify right side
    5,696,852,867,712x = 59,080,623,645,488,092,138,176,512
  5. Step 5: Solve for x
    x = 59,080,623,645,488,092,138,176,512/5,696,852,867,712
  6. Step 6: Final answer
    x = 10,370,747,677,255.07

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.