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Finding the Third Proportional to 734,587,931,592.06 and 1,598,147,577,927.10

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Solution

The third proportional to 734,587,931,592.06 and 1,598,147,577,927.10 is: 3,476,882,168,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,587,931,592.06 : 1,598,147,577,927.10 = 1,598,147,577,927.10 : x
  2. Step 2: Convert to fraction form
    734,587,931,592.06/1,598,147,577,927.10 = 1,598,147,577,927.10/x
  3. Step 3: Cross multiply
    734,587,931,592.06x = 1,598,147,577,927.10 × 1,598,147,577,927.10
  4. Step 4: Simplify right side
    734,587,931,592.06x = 2,554,075,680,834,256,564,649,984
  5. Step 5: Solve for x
    x = 2,554,075,680,834,256,564,649,984/734,587,931,592.06
  6. Step 6: Final answer
    x = 3,476,882,168,890.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.