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Finding the Third Proportional to 10,830,444 and 23,528,264

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Solution

The third proportional to 10,830,444 and 23,528,264 is: 51,113,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830,444 : 23,528,264 = 23,528,264 : x
  2. Step 2: Convert to fraction form
    10,830,444/23,528,264 = 23,528,264/x
  3. Step 3: Cross multiply
    10,830,444x = 23,528,264 × 23,528,264
  4. Step 4: Simplify right side
    10,830,444x = 553,579,206,853,696
  5. Step 5: Solve for x
    x = 553,579,206,853,696/10,830,444
  6. Step 6: Final answer
    x = 51,113,251.39

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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.