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Finding the Third Proportional to 363,196,280,281.50 and 780,292,057,708.65

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Solution

The third proportional to 363,196,280,281.50 and 780,292,057,708.65 is: 1,676,381,968,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,196,280,281.50 : 780,292,057,708.65 = 780,292,057,708.65 : x
  2. Step 2: Convert to fraction form
    363,196,280,281.50/780,292,057,708.65 = 780,292,057,708.65/x
  3. Step 3: Cross multiply
    363,196,280,281.50x = 780,292,057,708.65 × 780,292,057,708.65
  4. Step 4: Simplify right side
    363,196,280,281.50x = 608,855,695,323,199,210,258,432
  5. Step 5: Solve for x
    x = 608,855,695,323,199,210,258,432/363,196,280,281.50
  6. Step 6: Final answer
    x = 1,676,381,968,590.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.