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Finding the Third Proportional to 280,402,008.19 and 613,574,140.64

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Solution

The third proportional to 280,402,008.19 and 613,574,140.64 is: 1,342,619,578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,402,008.19 : 613,574,140.64 = 613,574,140.64 : x
  2. Step 2: Convert to fraction form
    280,402,008.19/613,574,140.64 = 613,574,140.64/x
  3. Step 3: Cross multiply
    280,402,008.19x = 613,574,140.64 × 613,574,140.64
  4. Step 4: Simplify right side
    280,402,008.19x = 376,473,226,062,875,328
  5. Step 5: Solve for x
    x = 376,473,226,062,875,328/280,402,008.19
  6. Step 6: Final answer
    x = 1,342,619,578.57

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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.