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Finding the Third Proportional to 454,069,852.59 and 710,743,336.03

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Solution

The third proportional to 454,069,852.59 and 710,743,336.03 is: 1,112,507,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,069,852.59 : 710,743,336.03 = 710,743,336.03 : x
  2. Step 2: Convert to fraction form
    454,069,852.59/710,743,336.03 = 710,743,336.03/x
  3. Step 3: Cross multiply
    454,069,852.59x = 710,743,336.03 × 710,743,336.03
  4. Step 4: Simplify right side
    454,069,852.59x = 505,156,089,712,830,336
  5. Step 5: Solve for x
    x = 505,156,089,712,830,336/454,069,852.59
  6. Step 6: Final answer
    x = 1,112,507,440.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.