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Finding the Third Proportional to 495,662,870.50 and 749,879,642.50

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Solution

The third proportional to 495,662,870.50 and 749,879,642.50 is: 1,134,479,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,662,870.50 : 749,879,642.50 = 749,879,642.50 : x
  2. Step 2: Convert to fraction form
    495,662,870.50/749,879,642.50 = 749,879,642.50/x
  3. Step 3: Cross multiply
    495,662,870.50x = 749,879,642.50 × 749,879,642.50
  4. Step 4: Simplify right side
    495,662,870.50x = 562,319,478,235,927,808
  5. Step 5: Solve for x
    x = 562,319,478,235,927,808/495,662,870.50
  6. Step 6: Final answer
    x = 1,134,479,727.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.