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Finding the Third Proportional to 530,672,984 and 1,148,269,984

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Solution

The third proportional to 530,672,984 and 1,148,269,984 is: 2,484,626,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,672,984 : 1,148,269,984 = 1,148,269,984 : x
  2. Step 2: Convert to fraction form
    530,672,984/1,148,269,984 = 1,148,269,984/x
  3. Step 3: Cross multiply
    530,672,984x = 1,148,269,984 × 1,148,269,984
  4. Step 4: Simplify right side
    530,672,984x = 1,318,523,956,155,360,256
  5. Step 5: Solve for x
    x = 1,318,523,956,155,360,256/530,672,984
  6. Step 6: Final answer
    x = 2,484,626,117.98

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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.