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Finding the Third Proportional to 1,019,574,966.75 and 1,574,402,191.50

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Solution

The third proportional to 1,019,574,966.75 and 1,574,402,191.50 is: 2,431,152,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,966.75 : 1,574,402,191.50 = 1,574,402,191.50 : x
  2. Step 2: Convert to fraction form
    1,019,574,966.75/1,574,402,191.50 = 1,574,402,191.50/x
  3. Step 3: Cross multiply
    1,019,574,966.75x = 1,574,402,191.50 × 1,574,402,191.50
  4. Step 4: Simplify right side
    1,019,574,966.75x = 2,478,742,260,600,002,560
  5. Step 5: Solve for x
    x = 2,478,742,260,600,002,560/1,019,574,966.75
  6. Step 6: Final answer
    x = 2,431,152,530.65

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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.