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Finding the Third Proportional to 24,820,921,136 and 34,828,665,897

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Solution

The third proportional to 24,820,921,136 and 34,828,665,897 is: 48,871,512,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820,921,136 : 34,828,665,897 = 34,828,665,897 : x
  2. Step 2: Convert to fraction form
    24,820,921,136/34,828,665,897 = 34,828,665,897/x
  3. Step 3: Cross multiply
    24,820,921,136x = 34,828,665,897 × 34,828,665,897
  4. Step 4: Simplify right side
    24,820,921,136x = 1,213,035,968,164,850,827,264
  5. Step 5: Solve for x
    x = 1,213,035,968,164,850,827,264/24,820,921,136
  6. Step 6: Final answer
    x = 48,871,512,927.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.