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Finding the Third Proportional to 4,440,039,300 and 9,872,801,280

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Solution

The third proportional to 4,440,039,300 and 9,872,801,280 is: 21,953,005,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,440,039,300 : 9,872,801,280 = 9,872,801,280 : x
  2. Step 2: Convert to fraction form
    4,440,039,300/9,872,801,280 = 9,872,801,280/x
  3. Step 3: Cross multiply
    4,440,039,300x = 9,872,801,280 × 9,872,801,280
  4. Step 4: Simplify right side
    4,440,039,300x = 97,472,205,114,369,638,400
  5. Step 5: Solve for x
    x = 97,472,205,114,369,638,400/4,440,039,300
  6. Step 6: Final answer
    x = 21,953,005,036.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.