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Finding the Third Proportional to 712,290,179 and 1,547,197,102

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Solution

The third proportional to 712,290,179 and 1,547,197,102 is: 3,360,735,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,290,179 : 1,547,197,102 = 1,547,197,102 : x
  2. Step 2: Convert to fraction form
    712,290,179/1,547,197,102 = 1,547,197,102/x
  3. Step 3: Cross multiply
    712,290,179x = 1,547,197,102 × 1,547,197,102
  4. Step 4: Simplify right side
    712,290,179x = 2,393,818,872,437,198,336
  5. Step 5: Solve for x
    x = 2,393,818,872,437,198,336/712,290,179
  6. Step 6: Final answer
    x = 3,360,735,474.13

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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.