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Finding the Third Proportional to 24,648,490 and 53,194,160

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Solution

The third proportional to 24,648,490 and 53,194,160 is: 114,798,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648,490 : 53,194,160 = 53,194,160 : x
  2. Step 2: Convert to fraction form
    24,648,490/53,194,160 = 53,194,160/x
  3. Step 3: Cross multiply
    24,648,490x = 53,194,160 × 53,194,160
  4. Step 4: Simplify right side
    24,648,490x = 2,829,618,658,105,600
  5. Step 5: Solve for x
    x = 2,829,618,658,105,600/24,648,490
  6. Step 6: Final answer
    x = 114,798,864.28

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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.