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Finding the Third Proportional to 2,373,618,528 and 4,814,316,480

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Solution

The third proportional to 2,373,618,528 and 4,814,316,480 is: 9,764,687,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373,618,528 : 4,814,316,480 = 4,814,316,480 : x
  2. Step 2: Convert to fraction form
    2,373,618,528/4,814,316,480 = 4,814,316,480/x
  3. Step 3: Cross multiply
    2,373,618,528x = 4,814,316,480 × 4,814,316,480
  4. Step 4: Simplify right side
    2,373,618,528x = 23,177,643,169,599,590,400
  5. Step 5: Solve for x
    x = 23,177,643,169,599,590,400/2,373,618,528
  6. Step 6: Final answer
    x = 9,764,687,499.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.