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Finding the Third Proportional to 5,696,852,867,709 and 7,686,392,108,487

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Solution

The third proportional to 5,696,852,867,709 and 7,686,392,108,487 is: 10,370,747,677,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696,852,867,709 : 7,686,392,108,487 = 7,686,392,108,487 : x
  2. Step 2: Convert to fraction form
    5,696,852,867,709/7,686,392,108,487 = 7,686,392,108,487/x
  3. Step 3: Cross multiply
    5,696,852,867,709x = 7,686,392,108,487 × 7,686,392,108,487
  4. Step 4: Simplify right side
    5,696,852,867,709x = 59,080,623,645,411,229,403,447,296
  5. Step 5: Solve for x
    x = 59,080,623,645,411,229,403,447,296/5,696,852,867,709
  6. Step 6: Final answer
    x = 10,370,747,677,247.04

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Why These Related Problems?

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