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Finding the Third Proportional to 10,388,932,402 and 22,248,893,768

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Solution

The third proportional to 10,388,932,402 and 22,248,893,768 is: 47,648,136,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388,932,402 : 22,248,893,768 = 22,248,893,768 : x
  2. Step 2: Convert to fraction form
    10,388,932,402/22,248,893,768 = 22,248,893,768/x
  3. Step 3: Cross multiply
    10,388,932,402x = 22,248,893,768 × 22,248,893,768
  4. Step 4: Simplify right side
    10,388,932,402x = 495,013,273,899,749,212,160
  5. Step 5: Solve for x
    x = 495,013,273,899,749,212,160/10,388,932,402
  6. Step 6: Final answer
    x = 47,648,136,954.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.