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Finding the Third Proportional to 10,150,938,363 and 15,518,168,653.50

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Solution

The third proportional to 10,150,938,363 and 15,518,168,653.50 is: 23,723,280,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150,938,363 : 15,518,168,653.50 = 15,518,168,653.50 : x
  2. Step 2: Convert to fraction form
    10,150,938,363/15,518,168,653.50 = 15,518,168,653.50/x
  3. Step 3: Cross multiply
    10,150,938,363x = 15,518,168,653.50 × 15,518,168,653.50
  4. Step 4: Simplify right side
    10,150,938,363x = 240,813,558,358,470,000,640
  5. Step 5: Solve for x
    x = 240,813,558,358,470,000,640/10,150,938,363
  6. Step 6: Final answer
    x = 23,723,280,523.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.