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Finding the Third Proportional to 712,290,396.09 and 1,547,197,539.19

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Solution

The third proportional to 712,290,396.09 and 1,547,197,539.19 is: 3,360,736,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,290,396.09 : 1,547,197,539.19 = 1,547,197,539.19 : x
  2. Step 2: Convert to fraction form
    712,290,396.09/1,547,197,539.19 = 1,547,197,539.19/x
  3. Step 3: Cross multiply
    712,290,396.09x = 1,547,197,539.19 × 1,547,197,539.19
  4. Step 4: Simplify right side
    712,290,396.09x = 2,393,820,225,267,855,360
  5. Step 5: Solve for x
    x = 2,393,820,225,267,855,360/712,290,396.09
  6. Step 6: Final answer
    x = 3,360,736,349.10

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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.