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Finding the Third Proportional to 9,889,323 and 21,377,478.50

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Solution

The third proportional to 9,889,323 and 21,377,478.50 is: 46,211,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889,323 : 21,377,478.50 = 21,377,478.50 : x
  2. Step 2: Convert to fraction form
    9,889,323/21,377,478.50 = 21,377,478.50/x
  3. Step 3: Cross multiply
    9,889,323x = 21,377,478.50 × 21,377,478.50
  4. Step 4: Simplify right side
    9,889,323x = 456,996,587,017,962.25
  5. Step 5: Solve for x
    x = 456,996,587,017,962.25/9,889,323
  6. Step 6: Final answer
    x = 46,211,109.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.