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Finding the Third Proportional to 10,830,436 and 23,528,246

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Solution

The third proportional to 10,830,436 and 23,528,246 is: 51,113,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830,436 : 23,528,246 = 23,528,246 : x
  2. Step 2: Convert to fraction form
    10,830,436/23,528,246 = 23,528,246/x
  3. Step 3: Cross multiply
    10,830,436x = 23,528,246 × 23,528,246
  4. Step 4: Simplify right side
    10,830,436x = 553,578,359,836,516
  5. Step 5: Solve for x
    x = 553,578,359,836,516/10,830,436
  6. Step 6: Final answer
    x = 51,113,210.94

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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.