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Finding the Third Proportional to 712,290,400 and 1,547,197,548

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Solution

The third proportional to 712,290,400 and 1,547,197,548 is: 3,360,736,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,290,400 : 1,547,197,548 = 1,547,197,548 : x
  2. Step 2: Convert to fraction form
    712,290,400/1,547,197,548 = 1,547,197,548/x
  3. Step 3: Cross multiply
    712,290,400x = 1,547,197,548 × 1,547,197,548
  4. Step 4: Simplify right side
    712,290,400x = 2,393,820,252,537,212,416
  5. Step 5: Solve for x
    x = 2,393,820,252,537,212,416/712,290,400
  6. Step 6: Final answer
    x = 3,360,736,368.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.