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Finding the Third Proportional to 323,847,446.63 and 461,547,947.81

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Solution

The third proportional to 323,847,446.63 and 461,547,947.81 is: 657,798,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,847,446.63 : 461,547,947.81 = 461,547,947.81 : x
  2. Step 2: Convert to fraction form
    323,847,446.63/461,547,947.81 = 461,547,947.81/x
  3. Step 3: Cross multiply
    323,847,446.63x = 461,547,947.81 × 461,547,947.81
  4. Step 4: Simplify right side
    323,847,446.63x = 213,026,508,129,930,208
  5. Step 5: Solve for x
    x = 213,026,508,129,930,208/323,847,446.63
  6. Step 6: Final answer
    x = 657,798,943.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.