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Finding the Third Proportional to 4,599,973,584 and 7,510,547,448

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Solution

The third proportional to 4,599,973,584 and 7,510,547,448 is: 12,262,749,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599,973,584 : 7,510,547,448 = 7,510,547,448 : x
  2. Step 2: Convert to fraction form
    4,599,973,584/7,510,547,448 = 7,510,547,448/x
  3. Step 3: Cross multiply
    4,599,973,584x = 7,510,547,448 × 7,510,547,448
  4. Step 4: Simplify right side
    4,599,973,584x = 56,408,322,968,659,312,640
  5. Step 5: Solve for x
    x = 56,408,322,968,659,312,640/4,599,973,584
  6. Step 6: Final answer
    x = 12,262,749,326.40

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.