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Finding the Third Proportional to 386,931,642,300 and 577,042,036,605

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Solution

The third proportional to 386,931,642,300 and 577,042,036,605 is: 860,559,012,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,931,642,300 : 577,042,036,605 = 577,042,036,605 : x
  2. Step 2: Convert to fraction form
    386,931,642,300/577,042,036,605 = 577,042,036,605/x
  3. Step 3: Cross multiply
    386,931,642,300x = 577,042,036,605 × 577,042,036,605
  4. Step 4: Simplify right side
    386,931,642,300x = 332,977,512,009,246,173,036,544
  5. Step 5: Solve for x
    x = 332,977,512,009,246,173,036,544/386,931,642,300
  6. Step 6: Final answer
    x = 860,559,012,516.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.