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Finding the Third Proportional to 23,385,018,353 and 48,009,747,543

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Solution

The third proportional to 23,385,018,353 and 48,009,747,543 is: 98,564,637,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,385,018,353 : 48,009,747,543 = 48,009,747,543 : x
  2. Step 2: Convert to fraction form
    23,385,018,353/48,009,747,543 = 48,009,747,543/x
  3. Step 3: Cross multiply
    23,385,018,353x = 48,009,747,543 × 48,009,747,543
  4. Step 4: Simplify right side
    23,385,018,353x = 2,304,935,859,142,594,658,304
  5. Step 5: Solve for x
    x = 2,304,935,859,142,594,658,304/23,385,018,353
  6. Step 6: Final answer
    x = 98,564,637,596.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.