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Finding the Third Proportional to 1,064,550,600 and 2,329,784,154

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Solution

The third proportional to 1,064,550,600 and 2,329,784,154 is: 5,098,765,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,550,600 : 2,329,784,154 = 2,329,784,154 : x
  2. Step 2: Convert to fraction form
    1,064,550,600/2,329,784,154 = 2,329,784,154/x
  3. Step 3: Cross multiply
    1,064,550,600x = 2,329,784,154 × 2,329,784,154
  4. Step 4: Simplify right side
    1,064,550,600x = 5,427,894,204,229,495,808
  5. Step 5: Solve for x
    x = 5,427,894,204,229,495,808/1,064,550,600
  6. Step 6: Final answer
    x = 5,098,765,811.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.