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Finding the Third Proportional to 1,513,317,915 and 2,130,156,465

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Solution

The third proportional to 1,513,317,915 and 2,130,156,465 is: 2,998,422,552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513,317,915 : 2,130,156,465 = 2,130,156,465 : x
  2. Step 2: Convert to fraction form
    1,513,317,915/2,130,156,465 = 2,130,156,465/x
  3. Step 3: Cross multiply
    1,513,317,915x = 2,130,156,465 × 2,130,156,465
  4. Step 4: Simplify right side
    1,513,317,915x = 4,537,566,565,381,296,128
  5. Step 5: Solve for x
    x = 4,537,566,565,381,296,128/1,513,317,915
  6. Step 6: Final answer
    x = 2,998,422,552.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.