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Finding the Third Proportional to 9,884,136 and 21,657,840

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Solution

The third proportional to 9,884,136 and 21,657,840 is: 47,456,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884,136 : 21,657,840 = 21,657,840 : x
  2. Step 2: Convert to fraction form
    9,884,136/21,657,840 = 21,657,840/x
  3. Step 3: Cross multiply
    9,884,136x = 21,657,840 × 21,657,840
  4. Step 4: Simplify right side
    9,884,136x = 469,062,033,465,600
  5. Step 5: Solve for x
    x = 469,062,033,465,600/9,884,136
  6. Step 6: Final answer
    x = 47,456,048.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.