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Finding the Third Proportional to 571,068,967.50 and 770,506,120.13

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Solution

The third proportional to 571,068,967.50 and 770,506,120.13 is: 1,039,593,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,068,967.50 : 770,506,120.13 = 770,506,120.13 : x
  2. Step 2: Convert to fraction form
    571,068,967.50/770,506,120.13 = 770,506,120.13/x
  3. Step 3: Cross multiply
    571,068,967.50x = 770,506,120.13 × 770,506,120.13
  4. Step 4: Simplify right side
    571,068,967.50x = 593,679,681,150,080,896
  5. Step 5: Solve for x
    x = 593,679,681,150,080,896/571,068,967.50
  6. Step 6: Final answer
    x = 1,039,593,665.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.