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Finding the Third Proportional to 7,636,430,897.50 and 16,439,946,203

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Solution

The third proportional to 7,636,430,897.50 and 16,439,946,203 is: 35,392,428,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636,430,897.50 : 16,439,946,203 = 16,439,946,203 : x
  2. Step 2: Convert to fraction form
    7,636,430,897.50/16,439,946,203 = 16,439,946,203/x
  3. Step 3: Cross multiply
    7,636,430,897.50x = 16,439,946,203 × 16,439,946,203
  4. Step 4: Simplify right side
    7,636,430,897.50x = 270,271,831,157,534,130,176
  5. Step 5: Solve for x
    x = 270,271,831,157,534,130,176/7,636,430,897.50
  6. Step 6: Final answer
    x = 35,392,428,057.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.