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Finding the Third Proportional to 341,824,426,128 and 502,497,070,152

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Solution

The third proportional to 341,824,426,128 and 502,497,070,152 is: 738,692,984,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,824,426,128 : 502,497,070,152 = 502,497,070,152 : x
  2. Step 2: Convert to fraction form
    341,824,426,128/502,497,070,152 = 502,497,070,152/x
  3. Step 3: Cross multiply
    341,824,426,128x = 502,497,070,152 × 502,497,070,152
  4. Step 4: Simplify right side
    341,824,426,128x = 252,503,305,511,344,017,506,304
  5. Step 5: Solve for x
    x = 252,503,305,511,344,017,506,304/341,824,426,128
  6. Step 6: Final answer
    x = 738,692,984,499.57

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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.