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Finding the Third Proportional to 30,706,666,724 and 47,177,399,646

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Solution

The third proportional to 30,706,666,724 and 47,177,399,646 is: 72,482,860,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706,666,724 : 47,177,399,646 = 47,177,399,646 : x
  2. Step 2: Convert to fraction form
    30,706,666,724/47,177,399,646 = 47,177,399,646/x
  3. Step 3: Cross multiply
    30,706,666,724x = 47,177,399,646 × 47,177,399,646
  4. Step 4: Simplify right side
    30,706,666,724x = 2,225,707,037,358,400,995,328
  5. Step 5: Solve for x
    x = 2,225,707,037,358,400,995,328/30,706,666,724
  6. Step 6: Final answer
    x = 72,482,860,395.23

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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.