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Finding the Third Proportional to 280,402,014 and 613,574,152.50

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Solution

The third proportional to 280,402,014 and 613,574,152.50 is: 1,342,619,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,402,014 : 613,574,152.50 = 613,574,152.50 : x
  2. Step 2: Convert to fraction form
    280,402,014/613,574,152.50 = 613,574,152.50/x
  3. Step 3: Cross multiply
    280,402,014x = 613,574,152.50 × 613,574,152.50
  4. Step 4: Simplify right side
    280,402,014x = 376,473,240,616,093,248
  5. Step 5: Solve for x
    x = 376,473,240,616,093,248/280,402,014
  6. Step 6: Final answer
    x = 1,342,619,602.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.