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Finding the Third Proportional to 708,875,271,340 and 1,525,264,567,386

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Solution

The third proportional to 708,875,271,340 and 1,525,264,567,386 is: 3,281,863,671,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,875,271,340 : 1,525,264,567,386 = 1,525,264,567,386 : x
  2. Step 2: Convert to fraction form
    708,875,271,340/1,525,264,567,386 = 1,525,264,567,386/x
  3. Step 3: Cross multiply
    708,875,271,340x = 1,525,264,567,386 × 1,525,264,567,386
  4. Step 4: Simplify right side
    708,875,271,340x = 2,326,432,000,523,201,733,984,256
  5. Step 5: Solve for x
    x = 2,326,432,000,523,201,733,984,256/708,875,271,340
  6. Step 6: Final answer
    x = 3,281,863,671,341.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.