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Finding the Third Proportional to 458,767,988,770 and 719,671,602,336

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Solution

The third proportional to 458,767,988,770 and 719,671,602,336 is: 1,128,952,385,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,767,988,770 : 719,671,602,336 = 719,671,602,336 : x
  2. Step 2: Convert to fraction form
    458,767,988,770/719,671,602,336 = 719,671,602,336/x
  3. Step 3: Cross multiply
    458,767,988,770x = 719,671,602,336 × 719,671,602,336
  4. Step 4: Simplify right side
    458,767,988,770x = 517,927,215,208,865,753,726,976
  5. Step 5: Solve for x
    x = 517,927,215,208,865,753,726,976/458,767,988,770
  6. Step 6: Final answer
    x = 1,128,952,385,273.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.