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Finding the Third Proportional to 35,426,754,836 and 78,074,610,587

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Solution

The third proportional to 35,426,754,836 and 78,074,610,587 is: 172,063,313,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,426,754,836 : 78,074,610,587 = 78,074,610,587 : x
  2. Step 2: Convert to fraction form
    35,426,754,836/78,074,610,587 = 78,074,610,587/x
  3. Step 3: Cross multiply
    35,426,754,836x = 78,074,610,587 × 78,074,610,587
  4. Step 4: Simplify right side
    35,426,754,836x = 6,095,644,818,311,692,156,928
  5. Step 5: Solve for x
    x = 6,095,644,818,311,692,156,928/35,426,754,836
  6. Step 6: Final answer
    x = 172,063,313,349.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.