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Finding the Third Proportional to 5,312,409,984 and 7,939,335,402

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Solution

The third proportional to 5,312,409,984 and 7,939,335,402 is: 11,865,245,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312,409,984 : 7,939,335,402 = 7,939,335,402 : x
  2. Step 2: Convert to fraction form
    5,312,409,984/7,939,335,402 = 7,939,335,402/x
  3. Step 3: Cross multiply
    5,312,409,984x = 7,939,335,402 × 7,939,335,402
  4. Step 4: Simplify right side
    5,312,409,984x = 63,033,046,625,450,500,096
  5. Step 5: Solve for x
    x = 63,033,046,625,450,500,096/5,312,409,984
  6. Step 6: Final answer
    x = 11,865,245,117.62

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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.