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Finding the Third Proportional to 571,069,054 and 770,506,231

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Solution

The third proportional to 571,069,054 and 770,506,231 is: 1,039,593,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,069,054 : 770,506,231 = 770,506,231 : x
  2. Step 2: Convert to fraction form
    571,069,054/770,506,231 = 770,506,231/x
  3. Step 3: Cross multiply
    571,069,054x = 770,506,231 × 770,506,231
  4. Step 4: Simplify right side
    571,069,054x = 593,679,852,009,825,408
  5. Step 5: Solve for x
    x = 593,679,852,009,825,408/571,069,054
  6. Step 6: Final answer
    x = 1,039,593,807.18

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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.