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Finding the Third Proportional to 211,252,688 and 453,742,270

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Solution

The third proportional to 211,252,688 and 453,742,270 is: 974,577,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,252,688 : 453,742,270 = 453,742,270 : x
  2. Step 2: Convert to fraction form
    211,252,688/453,742,270 = 453,742,270/x
  3. Step 3: Cross multiply
    211,252,688x = 453,742,270 × 453,742,270
  4. Step 4: Simplify right side
    211,252,688x = 205,882,047,584,752,896
  5. Step 5: Solve for x
    x = 205,882,047,584,752,896/211,252,688
  6. Step 6: Final answer
    x = 974,577,173.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.