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Finding the Third Proportional to 611,484,636.16 and 935,011,159.84

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Solution

The third proportional to 611,484,636.16 and 935,011,159.84 is: 1,429,710,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,484,636.16 : 935,011,159.84 = 935,011,159.84 : x
  2. Step 2: Convert to fraction form
    611,484,636.16/935,011,159.84 = 935,011,159.84/x
  3. Step 3: Cross multiply
    611,484,636.16x = 935,011,159.84 × 935,011,159.84
  4. Step 4: Simplify right side
    611,484,636.16x = 874,245,869,025,061,376
  5. Step 5: Solve for x
    x = 874,245,869,025,061,376/611,484,636.16
  6. Step 6: Final answer
    x = 1,429,710,277.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.