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Finding the Third Proportional to 7,849,627.88 and 10,602,209.81

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Solution

The third proportional to 7,849,627.88 and 10,602,209.81 is: 14,320,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849,627.88 : 10,602,209.81 = 10,602,209.81 : x
  2. Step 2: Convert to fraction form
    7,849,627.88/10,602,209.81 = 10,602,209.81/x
  3. Step 3: Cross multiply
    7,849,627.88x = 10,602,209.81 × 10,602,209.81
  4. Step 4: Simplify right side
    7,849,627.88x = 112,406,852,908,271.28
  5. Step 5: Solve for x
    x = 112,406,852,908,271.28/7,849,627.88
  6. Step 6: Final answer
    x = 14,320,023.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.