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Finding the Third Proportional to 307,989,357,609 and 452,758,018,464

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Solution

The third proportional to 307,989,357,609 and 452,758,018,464 is: 665,574,372,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,989,357,609 : 452,758,018,464 = 452,758,018,464 : x
  2. Step 2: Convert to fraction form
    307,989,357,609/452,758,018,464 = 452,758,018,464/x
  3. Step 3: Cross multiply
    307,989,357,609x = 452,758,018,464 × 452,758,018,464
  4. Step 4: Simplify right side
    307,989,357,609x = 204,989,823,283,447,759,634,432
  5. Step 5: Solve for x
    x = 204,989,823,283,447,759,634,432/307,989,357,609
  6. Step 6: Final answer
    x = 665,574,372,032.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.