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Finding the Third Proportional to 6,567,178,850 and 10,177,319,082

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Solution

The third proportional to 6,567,178,850 and 10,177,319,082 is: 15,772,042,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567,178,850 : 10,177,319,082 = 10,177,319,082 : x
  2. Step 2: Convert to fraction form
    6,567,178,850/10,177,319,082 = 10,177,319,082/x
  3. Step 3: Cross multiply
    6,567,178,850x = 10,177,319,082 × 10,177,319,082
  4. Step 4: Simplify right side
    6,567,178,850x = 103,577,823,696,841,326,592
  5. Step 5: Solve for x
    x = 103,577,823,696,841,326,592/6,567,178,850
  6. Step 6: Final answer
    x = 15,772,042,464.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.