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Finding the Third Proportional to 1,784,273,897 and 3,865,038,898

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Solution

The third proportional to 1,784,273,897 and 3,865,038,898 is: 8,372,327,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,273,897 : 3,865,038,898 = 3,865,038,898 : x
  2. Step 2: Convert to fraction form
    1,784,273,897/3,865,038,898 = 3,865,038,898/x
  3. Step 3: Cross multiply
    1,784,273,897x = 3,865,038,898 × 3,865,038,898
  4. Step 4: Simplify right side
    1,784,273,897x = 14,938,525,683,053,053,952
  5. Step 5: Solve for x
    x = 14,938,525,683,053,053,952/1,784,273,897
  6. Step 6: Final answer
    x = 8,372,327,650.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.