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Finding the Third Proportional to 30,706,666,720 and 47,177,399,640

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Solution

The third proportional to 30,706,666,720 and 47,177,399,640 is: 72,482,860,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706,666,720 : 47,177,399,640 = 47,177,399,640 : x
  2. Step 2: Convert to fraction form
    30,706,666,720/47,177,399,640 = 47,177,399,640/x
  3. Step 3: Cross multiply
    30,706,666,720x = 47,177,399,640 × 47,177,399,640
  4. Step 4: Simplify right side
    30,706,666,720x = 2,225,707,036,792,272,191,488
  5. Step 5: Solve for x
    x = 2,225,707,036,792,272,191,488/30,706,666,720
  6. Step 6: Final answer
    x = 72,482,860,386.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.